Math Doubts

Integrals of trigonometric functions

There are six fundamental formulas on integration of trigonometric functions.

Integral of sinx

$\Large \int \normalsize \sin{x} dx = -\cos{x}+c$

Integral of cosx

$\Large \int \normalsize \cos{x} dx = \sin{x}+c$

Integral of sec²x

$\Large \int \normalsize \sec^2{x} dx = \tan{x}+c$

Integral of csc²x (or) cosec²x

$\Large \int \normalsize \csc^2{x} dx = -\cot{x}+c$

Integral of secx.tanx

$\Large \int \normalsize \sec{x}\tan{x} dx = \sec{x}+c$

Integral of cscx.cotx

$\Large \int \normalsize \csc{x}\cot{x} dx = -\csc{x}+c$

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