What is the integral of sec(x)cos^2(x) ?

The integral of sec(x)cos^2(x) is sin(x)+C

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integral of sec(x)cos^2(x)

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

sin (x) + C

Solution steps

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

Express with sin, cos

= \int cos (x) d x

Use the common integral:

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

= sin (x)

Add a constant to the solution

= sin (x) + C

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What is the integral of sec(x)cos^2(x) ?
The integral of sec(x)cos^2(x) is sin(x)+C