What is the integral from 0 to 2-y of x ?

The integral from 0 to 2-y of x is ((-y+2)^2)/2

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integral from 0 to 2-y of x

\int_{0}^{2 - y} x d x

\frac{( - y + 2 ) ^{2}}{2}

Solution steps

\int_{0}^{2 - y} x d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{( - y + 2 ) ^{2}}{2}

= \frac{( - y + 2 ) ^{2}}{2}

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What is the integral from 0 to 2-y of x ?
The integral from 0 to 2-y of x is ((-y+2)^2)/2