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 …

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5.2 The Definite Integral; 5.3 The Fundamental Theorem of Calculus; 5.4 Integration Formulas and the Net Change Theorem; 5.5 Substitution; 5.6 Integrals Involving Exponential and …

Table of Integrals 1. Z ur du = ur+1 r +1 +C, r 6=−1 2. Z 1 u du =ln|u|+C 3. Z eu du = eu +C 4. Z sinudu= − cosu+C 5. Z cosudu= sinu+C 6. Z tanudu=ln|secu|+C 7. Z cotudu=ln|sinu|+C 8. Z

2022年9月7日 · Inverse Trigonometric Integrals. 59. \(\quad \displaystyle ∫\sin^{-1}u\,du=u\sin^{-1}u+\sqrt{1−u^2}+C\) 60. \(\quad \displaystyle ∫\cos^{-1}u\,du=u\cos^{-1}u− ...

12. Z sec[u(x)] tan[u(x)]u0(x)dx = sec u(x)+C 13. Z csc[u(x)] cot[u(x)]u0(x)dx = −csc u(x)+C 14. Z u0(x) p a2 − u2(x) dx = sin−1 u(x) a +C 15. Z u0(x) a2 +u2(x ...

Table of Basic Integrals1 (1) Z xn dx = 1 n+1 xn+1; n 6= 1 (2) Z 1 x dx = lnjxj (3) Z u dv = uv Z vdu (4) Z e xdx = e (5) Z ax dx = 1 lna ax (6) Z lnxdx = xlnx x (7) Z sinxdx = cosx (8) Z cosxdx = …

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Math 401: Calculus II - Integral Calculus Chapter 7: Appendices 7.3: Table of Integrals Expand/collapse global location 7.3: Table of Integrals Last updated; Save as PDF Page ID …

2 2 2 2 2 2 2 2 − 2 2 Learning Resource Center - Math Center FORMS INVOLVING √a 2 −u 2,a >0 30. ∫ √a 2 −u 2 du = u √a 2 −u 2 + a 2 −1 2 sin u +C 2 a