What is the integral of 2/(1+cos(2x)) ?

The integral of 2/(1+cos(2x)) is tan(x)+C

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integral of 2/(1+cos(2x))

\int \frac{2}{1 + cos ( 2 x )} d x

tan (x) + C

Solution steps

\int \frac{2}{1 + cos ( 2 x )} d x

Simplify

\frac{2}{1 + cos ( 2 x )} : sec^{2} (x)

= \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= tan (x)

Add a constant to the solution

= tan (x) + C

\int (x - 1) (x + 1) d x

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\int \frac{arctan ( x )}{x ^{2} + 1} d x

e^{x}, 2

\int \frac{a x + b}{c x + d} d x

What is the integral of 2/(1+cos(2x)) ?
The integral of 2/(1+cos(2x)) is tan(x)+C