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

The integral of (sin(2x))/(2cos(x)) is -cos(x)+C

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integral of (sin(2x))/(2cos(x))

\int \frac{sin ( 2 x )}{2 cos ( x )} d x

- cos (x) + C

Solution steps

\int \frac{sin ( 2 x )}{2 cos ( x )} d x

Simplify

\frac{sin ( 2 x )}{2 cos ( x )} : sin (x)

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

What is the integral of (sin(2x))/(2cos(x)) ?
The integral of (sin(2x))/(2cos(x)) is -cos(x)+C