What is the integral from 0 to cos(y) of y ?

The integral from 0 to cos(y) of y is 1/2 cos^2(y)

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integral from 0 to cos(y) of y

\int_{0}^{c o s (y)} y d y

\frac{1}{2} cos^{2} (y)

Solution steps

\int_{0}^{c o s (y)} y d y

Apply the Power Rule

= [\frac{y ^{2}}{2}]_{0}^{c o s (y)}

Compute the boundaries:

\frac{1}{2} cos^{2} (y)

= \frac{1}{2} cos^{2} (y)

What is the integral from 0 to cos(y) of y ?
The integral from 0 to cos(y) of y is 1/2 cos^2(y)