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

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

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integral from 0 to x/2 of 1

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

\frac{x}{2}

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Simplify

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

Compute the boundaries:

\frac{x}{2}

= \frac{x}{2}

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