Integral Table Pdf - Pdf The Integral Formula Of Poisson With Principal Value Integrals And Some Special Gradshteyn And Ryzhik Integrals / An+1 0 ∞ ∫ integration by parts:
©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= … Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. 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
©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. 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! X dx= 2 ax+ b+ b xyax+ b' 26. 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= … An+1 0 ∞ ∫ integration by parts: Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). The copyright holder makes no representation about the accuracy, correctness, or 2an+1 0 ∞ ∫ xne−axdx= n! Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. Csun, integrals, table of integrals, math 280, math 351, differential equations created date: 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
X dx= 2 ax+ b+ b xyax+ b' 26. ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. 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 An+1 0 ∞ ∫ integration by parts:
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 of basic integrals basic forms (1) z xndx= 1 n+ 1 xn+1; X dx= 2 ax+ b+ b xyax+ b' 26. 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 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). Table of useful integrals, etc. The copyright holder makes no representation about the accuracy, correctness, or 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= … Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. An+1 0 ∞ ∫ integration by parts: ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. 2an+1 0 ∞ ∫ xne−axdx= n! Csun, integrals, table of integrals, math 280, math 351, differential equations created date:
Udv a b ∫=#uv$% a b −vdu a b ∫ u and v are. 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= … ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission. 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 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). 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 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: Table of useful integrals, etc. 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 … The copyright holder makes no representation about the accuracy, correctness, or 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= … 2an+1 0 ∞ ∫ xne−axdx= n!
Integral Table Pdf - Pdf The Integral Formula Of Poisson With Principal Value Integrals And Some Special Gradshteyn And Ryzhik Integrals / An+1 0 ∞ ∫ integration by parts:. Table 2.1, choose yp in the same line and determine its undetermined coefficients by substituting yp and its derivatives into (4). An+1 0 ∞ ∫ integration by parts: Csun, integrals, table of integrals, math 280, math 351, differential equations created date: 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 … ©2005 be shapiro page 3 this document may not be reproduced, posted or published without permission.
