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Integral Table Pdf : Eformulae Integral : Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1;

Table of integrals basic forms z xndx= 1 n+ 1 xn+1 (1) z 1 x dx= lnx (2) z udv= uv z vdu (3) z 1 ax+ b dx= 1 a lnjax+ bj (4) integrals of rational functions z 1 (x+ a)2 dx= 1 x+ a (5) z (x+ a)ndx= (x+ a)n+1 n+ 1 + c;n6= 1 (6) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (7) z 1 1 + x2 dx= tan 1 x (8) z 1 a2 + x2 dx= 1 a tan 1 x a (9) z x a 2+ x dx= 1 2 lnja2 + x2j (10) z x 2 a 2+ x dx= … Table of useful integrals, etc. Csun, integrals, table of integrals, math 280, math 351, differential equations created date: Csun, integrals, table of integrals, math 280, math 351, differential equations created date: If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the

©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. Integration
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©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. An+1 0 ∞ ∫ integration by parts: E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). X dx= 2 ax+ b+ b xyax+ b' 26. If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the 2an+1 0 ∞ ∫ xne−axdx= n! Csun, integrals, table of integrals, math 280, math 351, differential equations created date:

©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission.

An+1 0 ∞ ∫ integration by parts: N6= 1 (2) z 1 x dx= lnjxj (3) z udv= uv z vdu (4) z 1 ax+ b dx= 1 a lnjax+ bj integrals of rational functions (5) z 1 (x+ a)2 dx= 1 x+ a (6) z (x+ a)ndx= (x+ a)n+1 n+ 1;n6= 1 (7) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (8) z 1 1 + x2 dx= tan 1 x (9) z 1 a2 + x2 dx= 1 a tan 1 x a 1 (10) z x a2 + x2 dx= 1 2 lnja2 + x2j … Csun, integrals, table of integrals, math 280, math 351, differential equations created date: E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. Table of integrals basic forms z xndx= 1 n+ 1 xn+1 (1) z 1 x dx= lnx (2) z udv= uv z vdu (3) z 1 ax+ b dx= 1 a lnjax+ bj (4) integrals of rational functions z 1 (x+ a)2 dx= 1 x+ a (5) z (x+ a)ndx= (x+ a)n+1 n+ 1 + c;n6= 1 (6) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (7) z 1 1 + x2 dx= tan 1 x (8) z 1 a2 + x2 dx= 1 a tan 1 x a (9) z x a 2+ x dx= 1 2 lnja2 + x2j (10) z x 2 a 2+ x dx= … The copyright holder makes no representation about the accuracy, correctness, or 2an+1 0 ∞ ∫ xne−axdx= n! Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1; Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). X dx= 2 ax+ b+ b xyax+ b' 26. Table of useful integrals, etc.

Csun, integrals, table of integrals, math 280, math 351, differential equations created date: The copyright holder makes no representation about the accuracy, correctness, or 2an+1 0 ∞ ∫ xne−axdx= n! Table of useful integrals, etc. If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the

E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! Integral Table Angkoo
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The copyright holder makes no representation about the accuracy, correctness, or Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. An+1 0 ∞ ∫ integration by parts: X dx= 2 ax+ b+ b xyax+ b' 26. Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1; Csun, integrals, table of integrals, math 280, math 351, differential equations created date: Csun, integrals, table of integrals, math 280, math 351, differential equations created date: ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission.

If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the

Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. N6= 1 (2) z 1 x dx= lnjxj (3) z udv= uv z vdu (4) z 1 ax+ b dx= 1 a lnjax+ bj integrals of rational functions (5) z 1 (x+ a)2 dx= 1 x+ a (6) z (x+ a)ndx= (x+ a)n+1 n+ 1;n6= 1 (7) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (8) z 1 1 + x2 dx= tan 1 x (9) z 1 a2 + x2 dx= 1 a tan 1 x a 1 (10) z x a2 + x2 dx= 1 2 lnja2 + x2j … Csun, integrals, table of integrals, math 280, math 351, differential equations created date: Table of integrals basic forms z xndx= 1 n+ 1 xn+1 (1) z 1 x dx= lnx (2) z udv= uv z vdu (3) z 1 ax+ b dx= 1 a lnjax+ bj (4) integrals of rational functions z 1 (x+ a)2 dx= 1 x+ a (5) z (x+ a)ndx= (x+ a)n+1 n+ 1 + c;n6= 1 (6) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (7) z 1 1 + x2 dx= tan 1 x (8) z 1 a2 + x2 dx= 1 a tan 1 x a (9) z x a 2+ x dx= 1 2 lnja2 + x2j (10) z x 2 a 2+ x dx= … X dx= 2 ax+ b+ b xyax+ b' 26. Csun, integrals, table of integrals, math 280, math 351, differential equations created date: An+1 0 ∞ ∫ integration by parts: Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1; If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! The copyright holder makes no representation about the accuracy, correctness, or Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). 2an+1 0 ∞ ∫ xne−axdx= n!

E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! N6= 1 (2) z 1 x dx= lnjxj (3) z udv= uv z vdu (4) z 1 ax+ b dx= 1 a lnjax+ bj integrals of rational functions (5) z 1 (x+ a)2 dx= 1 x+ a (6) z (x+ a)ndx= (x+ a)n+1 n+ 1;n6= 1 (7) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (8) z 1 1 + x2 dx= tan 1 x (9) z 1 a2 + x2 dx= 1 a tan 1 x a 1 (10) z x a2 + x2 dx= 1 2 lnja2 + x2j … Table of integrals basic forms z xndx= 1 n+ 1 xn+1 (1) z 1 x dx= lnx (2) z udv= uv z vdu (3) z 1 ax+ b dx= 1 a lnjax+ bj (4) integrals of rational functions z 1 (x+ a)2 dx= 1 x+ a (5) z (x+ a)ndx= (x+ a)n+1 n+ 1 + c;n6= 1 (6) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (7) z 1 1 + x2 dx= tan 1 x (8) z 1 a2 + x2 dx= 1 a tan 1 x a (9) z x a 2+ x dx= 1 2 lnja2 + x2j (10) z x 2 a 2+ x dx= … Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the

Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). تحميل Elements Of The Integral Calculus With A Key To The Solution Of Differential Equations And A Short Table Of Integrals Pdf مجانا Mutanahas Xyz
تحميل Elements Of The Integral Calculus With A Key To The Solution Of Differential Equations And A Short Table Of Integrals Pdf مجانا Mutanahas Xyz from books.google.com
An+1 0 ∞ ∫ integration by parts: Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the Csun, integrals, table of integrals, math 280, math 351, differential equations created date: Csun, integrals, table of integrals, math 280, math 351, differential equations created date: 2an+1 0 ∞ ∫ xne−axdx= n! The copyright holder makes no representation about the accuracy, correctness, or ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission.

Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4).

If a term in your choice for yp happens to be a solution of the homogeneous ode corresponding to (4), multiply this term by x (or by x 2 if this solution corresponds to a double root of the N6= 1 (2) z 1 x dx= lnjxj (3) z udv= uv z vdu (4) z 1 ax+ b dx= 1 a lnjax+ bj integrals of rational functions (5) z 1 (x+ a)2 dx= 1 x+ a (6) z (x+ a)ndx= (x+ a)n+1 n+ 1;n6= 1 (7) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (8) z 1 1 + x2 dx= tan 1 x (9) z 1 a2 + x2 dx= 1 a tan 1 x a 1 (10) z x a2 + x2 dx= 1 2 lnja2 + x2j … Csun, integrals, table of integrals, math 280, math 351, differential equations created date: The copyright holder makes no representation about the accuracy, correctness, or Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1; 2an+1 0 ∞ ∫ xne−axdx= n! Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). E−ax2dx= 1 2 π a # $% & '(1 2 0 ∞ ∫ ax xe−2dx= 1 2a 0 ∞ ∫ x2e−ax2dx= 1 4a π a # $% & '(1 2 0 ∞ ∫ x3e−ax2dx= 1 2a2 0 ∞ ∫ x2ne−ax2dx= 1⋅3⋅5⋅⋅⋅(2n−1) 2n+1an π a $ %& ' 1 2 0 ∞ ∫ x2n+1e−ax2dx= n! X dx= 2 ax+ b+ b xyax+ b' 26. An+1 0 ∞ ∫ integration by parts: Csun, integrals, table of integrals, math 280, math 351, differential equations created date: Table of useful integrals, etc.

Integral Table Pdf : Eformulae Integral : Table of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1;. 2an+1 0 ∞ ∫ xne−axdx= n! Csun, integrals, table of integrals, math 280, math 351, differential equations created date: ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. Table of integrals basic forms z xndx= 1 n+ 1 xn+1 (1) z 1 x dx= lnx (2) z udv= uv z vdu (3) z 1 ax+ b dx= 1 a lnjax+ bj (4) integrals of rational functions z 1 (x+ a)2 dx= 1 x+ a (5) z (x+ a)ndx= (x+ a)n+1 n+ 1 + c;n6= 1 (6) z x(x+ a)ndx= (x+ a)n+1((n+ 1)x a) (n+ 1)(n+ 2) (7) z 1 1 + x2 dx= tan 1 x (8) z 1 a2 + x2 dx= 1 a tan 1 x a (9) z x a 2+ x dx= 1 2 lnja2 + x2j (10) z x 2 a 2+ x dx= … The copyright holder makes no representation about the accuracy, correctness, or

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