What is the integral from 0 to 4 of 8y ?

The integral from 0 to 4 of 8y is 64

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integral from 0 to 4 of 8y

\int_{0}^{4} 8 y d y

64

Solution steps

\int_{0}^{4} 8 y d y

Take the constant out:

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

= 8 \cdot \int_{0}^{4} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{0}^{4}

= 8 [\frac{y ^{2}}{2}]_{0}^{4}

Compute the boundaries:

8

= 8 \cdot 8

Simplify

= 64

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