Antiderivatives (aka Integrals)

What is the integral of: f(x)=x^p

(x^p+1)/(p+1) +c
What is the integral of: f(x)=cos(ax)

(1/a)sin(ax)+c
What is the integral of: f(x)=sin(ax)

-(1/a)cos(ax)+c
What is the integral of: f(x)=sec²(ax)

(1/a)tan(ax)+c
What is the integral of: f(x)=csc²(ax)

-(1/a)cot(ax)+c
What is the integral of: f(x)=sec(ax)tan(ax)

(1/a)sec(ax)+c
What is the integral of: csc(ax)cot(ax)

-(1/a)csc(ax)+c
What is the integral of: f(x)=e^ax

(1/a)e^ax+c
What is the integral of: f(x)=(1/x)

ln|x|+c
What is the integral of: f(x)=1/sqrt(a²-x²)

sin^-1(x/a)+c
What is the integral of: 1/(a²+x²)

(1/a)tan^-1(x/a)+c
What is the integral of: f(x)=1/[x*sqrt(x²-a²)]

(1/a)sec^-1(x/a)+c
What is the integral of: f(x)=1/(x²+a²)

(1/x)tan^-1(x/a)
What is the formula for integration by parts?

Integral{udv}dx = uv - Int{vdu}dx
What is the integral of: f(x)=ln(x)

x ln(x) - x + C
What is the integral of: f(x)= sec x dx

ln|sec x + tan x| + C
What is the integral of: f(x)= csc x dx

-ln|csc x + cot x| + C

Author

ballinbc14

50766

Card Set

Antiderivatives (aka Integrals)

Description

Antiderivatives of all sorts of functions

Updated

2011-02-22T05:46:02Z

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