Math Doubts

Integrals of Trigonometric functions

The trigonometric functions are involved in calculus. So, learn the trigonometric integral formulas with proofs and also learn how to find indefinite and definite integrals of trigonometric functions from the integration problems.

Integral Rules

The list of integral rules of trigonometric functions with proofs.

$\displaystyle \int{\sin{x}\,}dx$ $\,=\,$ $-\cos{x}+c$

$\displaystyle \int{\cos{x}\,}dx$ $\,=\,$ $\sin{x}+c$

$\displaystyle \int{\sec^2{x}\,}dx$ $\,=\,$ $\tan{x}+c$

$\displaystyle \int{\csc^2{x}\,}dx$ $\,=\,$ $-\cot{x}+c$

$\displaystyle \int{\sec{x}\tan{x}\,}dx$ $\,=\,$ $\sec{x}+c$

$\displaystyle \int{\csc{x}\cot{x}\,}dx$ $\,=\,$ $-\csc{x}+c$

Integration Problems

The list of questions on trigonometric integral problems with solutions to learn how to find the indefinite and definite integrals of trigonometric functions.