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

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

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

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

sin (x) + C

Solution steps

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

Cancel the common factor:

cos (x)

= \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

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