What is the integral of cos(x)2 ?

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

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integral of cos(x)2

\int cos (x) 2 d x

2 sin (x) + C

Solution steps

\int cos (x) \cdot 2 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int cos (x) d x

Use the common integral:

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

= 2 sin (x)

Add a constant to the solution

= 2 sin (x) + C

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