Αποτελέσματα Αναζήτησης
Integrals with Trigonometric Functions Z sinaxdx= 1 a cosax (63) Z sin2 axdx= x 2 sin2ax 4a (64) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (65) Z sin3 axdx= 3cosax 4a + cos3ax 12a (66) Z cosaxdx=
©2005 BE Shapiro Page 3 This document may not be reproduced, posted or published without permission. The copyright holder makes no representation about the accuracy, correctness, or
int-table.dvi. Table of Integrals. Z ur+1 ur du = . C, + 1. 6=−1. 3. Z eu du = eu + C. 5. Z cos u du = sin u + C. 7. Z cot u du = ln | sin u| + C. 9. Z. csc u du = ln | csc u − cot u| + C. Z. 11. csc u cot u du = − csc u + C. 13. Z csc2 u du = − cot u + C. 15. du. = 1 u tan−1. . C. a a2 + x2. 17. sinh u du = cosh u + C. 2. du = ln |u| + C. u.
Integrals with Trigonometric Functions (71) Z sinaxdx= 1 a cosax (72) Z sin2 axdx= x 2 sin2ax 4a (73) Z sin3 axdx= 3cosax 4a + cos3ax 12a (74) Z sinn axdx= 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (75) Z cosaxdx= 1 a sinax (76) Z cos2 axdx= x 2 + sin2ax 4a (77) Z cos3 axdx= 3sinax 4a + sin3ax 12a 8
Table of Integrals. 1. ur+1(x) [u(x)]ru0(x) dx = C, r 6=−1. r. 2. Z u0(x) dx. = ln |u(x)| u(x) 1. C. 3. eu(x)u0(x) dx = eu(x) + C. 4. Z. sin [u(x)] u0(x) dx = − cos u(x) + C. 5. cos [u(x)] u0(x) dx = sin u(x) + C. 6. tan [u(x)] u0(x) dx = ln | sec u(x)| + C. 7. Z. cot [u(x)] u0(x) dx = ln | sin u(x)| + C. 8. Z.
CSUN, Integrals, Table of Integrals, Math 280, Math 351, Differential Equations Created Date: 6/14/2014 6:39:16 PM ...
Table of Standard Integrals 1. Z xn dx= xn+1 n+1 +C (n6= 1) 2. Z dx x = lnjxj+C 3. Z e xdx= e +C 4. Z sinxdx= cosx+C 5. Z cosxdx= sinx+C 6. Z tanxdx= ln cosx +C 7. Z cotxdx= ln sinx +C 8. Z dx a 2+x = 1 a tan 1 x a +C 9. sec2 xdx= tanx+C 10. Z cosec2 xdx= cotx+C 11. Z secxdx= ln secx+tanx +C 12. Z cosecxdx= ln cosecx cotx
