AP Integration

Integral (x^n dx)

(x^n+1) / (n+1) + c

integral cos x dx

sin x +c

int sec² x dx

tan x +c

int cscx cotx

-csc x + c

int sec x tan x dx

secx + c

int csc² x dx

-cot x + c

int e^x dx

e^x +c

int a^x dx

a^x / ln(a) + c

int (1/x) dx

ln abs(x) + c

fundamental theorm of calculus

if f(x) is continous on [a,b] and differentiable on (a,b). integral (a,b) f(x) dx = F(b) - F(a)

when subtracting or adding Ln

divide or multiply. also you can minimize the exponent and move the other to the front.

integral du/ square root (a² - u²)

Integral du/ a² + u²