What is the integral of cos(1/2)y ?

The integral of cos(1/2)y is 1/2 cos(1/2)y^2+C

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integral of cos(1/2)y

\int cos (\frac{1}{2}) y d y

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

Solution steps

\int cos (\frac{1}{2}) y d y

Take the constant out:

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

= cos (\frac{1}{2}) \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

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

Simplify

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

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

Add a constant to the solution

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

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What is the integral of cos(1/2)y ?
The integral of cos(1/2)y is 1/2 cos(1/2)y^2+C