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Common integrals review

Review the integration rules for all the common function types.

Polynomials

xndx=xn+1n+1+C

Radicals

Axnmdx=xnmdx=xnm+1nm+1+C
Want to learn more about integrating polynomials and radicals? Check out this video.
Want to practice integrating polynomials and radicals? Check out these exercises:

Trigonometric functions

sin(x)dx=cos(x)+C
cos(x)dx=sin(x)+C
sec2(x)dx=tan(x)+C
csc2(x)dx=cot(x)+C
sec(x)tan(x)dx=sec(x)+C
csc(x)cot(x)dx=csc(x)+C
Want to learn more about integrating trigonometric functions? Check out this video.
Want to practice integrating trigonometric functions? Check out these exercises:

Exponential functions

exdx=ex+C
axdx=axln(a)+C

Integrals that are logarithmic functions

1xdx=ln|x|+C
Want to learn more about integrating exponential functions and 1x? Check out this video.
Want to practice integrating exponential functions and 1x? Check out this exercise.

Integrals that are inverse trigonometric functions

1a2x2dx=arcsin(xa)+C
1a2+x2dx=1aarctan(xa)+C

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