What is the integral from 0 to y of 1/2 ?

The integral from 0 to y of 1/2 is y/2

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integral from 0 to y of 1/2

\int_{0}^{y} \frac{1}{2} d x

\frac{y}{2}

Solution steps

\int_{0}^{y} \frac{1}{2} d x

Integral of a constant:

\int a d x = a x

= [\frac{1}{2} x]_{0}^{y}

Compute the boundaries:

\frac{1}{2} y

= \frac{1}{2} y

Simplify

= \frac{y}{2}

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\int_{0}^{π} tan (x) cos^{2} (x) d x

What is the integral from 0 to y of 1/2 ?
The integral from 0 to y of 1/2 is y/2