What is the integral from 2x to 4 of 1/4 ?

The integral from 2x to 4 of 1/4 is 1-x/2

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integral from 2x to 4 of 1/4

\int_{2 x}^{4} \frac{1}{4} d y

1 - \frac{x}{2}

Solution steps

\int_{2 x}^{4} \frac{1}{4} d y

Integral of a constant:

\int a d x = a x

= [\frac{1}{4} y]_{2 x}^{4}

Compute the boundaries:

1 - \frac{1}{2} x

= 1 - \frac{1}{2} x

Simplify

= 1 - \frac{x}{2}

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What is the integral from 2x to 4 of 1/4 ?
The integral from 2x to 4 of 1/4 is 1-x/2