What is the integral from 1 to 2 of xy ?

The integral from 1 to 2 of xy is (3x)/2

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integral from 1 to 2 of xy

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

\frac{3 x}{2}

Solution steps

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

Take the constant out:

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

= x \cdot \int_{1}^{2} y d y

Apply the Power Rule

: [\frac{y ^{2}}{2}]_{1}^{2}

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

Compute the boundaries:

\frac{3}{2}

= x \frac{3}{2}

Simplify

= \frac{3 x}{2}

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What is the integral from 1 to 2 of xy ?
The integral from 1 to 2 of xy is (3x)/2