# Antiderivatives (aka Integrals)

The flashcards below were created by user ballinbc14 on FreezingBlue Flashcards.

1. What is the integral of: f(x)=xp
(xp+1 )/(p+1) +c
2. What is the integral of: f(x)=cos(ax)
(1/a)sin(ax)+c
3. What is the integral of: f(x)=sin(ax)
-(1/a)cos(ax)+c
4. What is the integral of: f(x)=sec2(ax)
(1/a)tan(ax)+c
5. What is the integral of: f(x)=csc2(ax)
-(1/a)cot(ax)+c
6. What is the integral of: f(x)=sec(ax)tan(ax)
(1/a)sec(ax)+c
7. What is the integral of: csc(ax)cot(ax)
-(1/a)csc(ax)+c
8. What is the integral of: f(x)=eax
(1/a)eax+c
9. What is the integral of: f(x)=(1/x)
ln|x|+c
10. What is the integral of: f(x)=1/sqrt(a2-x2)
sin-1(x/a)+c
11. What is the integral of: 1/(a2+x2)
(1/a)tan-1(x/a)+c
12. What is the integral of: f(x)=1/[x*sqrt(x2-a2)]
(1/a)sec-1(x/a)+c
13. What is the integral of: f(x)=1/(x2+a2)
(1/x)tan-1(x/a)
14. What is the formula for integration by parts?
Integral{udv}dx = uv - Int{vdu}dx
15. What is the integral of: f(x)=ln(x)
x ln(x) - x + C
16. What is the integral of: f(x)= sec x dx
ln|sec x + tan x| + C
17. What is the integral of: f(x)= csc x dx
-ln|csc x + cot x| + C
 Author: ballinbc14 ID: 50766 Card Set: Antiderivatives (aka Integrals) Updated: 2011-02-22 05:46:02 Tags: antiderivatives integrals functions calc Folders: Description: Antiderivatives of all sorts of functions Show Answers: