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Some basic integration formulas everyone should know about
Typology: Cheat Sheet
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e
x dx = e
x
∫
ax^ dx =
ax
ln a
x
dx = ln |x| + C
∫
cos x dx = sin x + C
∫
sec
2 x dx = tan x + C
∫
sin x dx = − cos x + C
∫
csc^2 x dx = − cot x + C
∫
sec x tan x dx = sec x + C
∫ 1
1 + x^2
dx = arctan x + C
∫ 1 √ 1 − x^2
dx = arcsin x + C
∫
csc x cot x dx = − csc x + C
∫
sec x dx = ln | sec x + tan x| + C
∫
csc x dx = − ln | csc x + cot x| + C
x
n dx =
xn+
n + 1
Here are some additional ones that we used to require students to know...
∫
sinh x dx = cosh x + C
∫
cosh x dx = sinh x + C
