What is the integral from x^2 to 1 of y ?

The integral from x^2 to 1 of y is (1-x^4)/2

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integral from x^2 to 1 of y

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

\frac{1 - x ^{4}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{1}{2} - \frac{x ^{4}}{2}

= \frac{1}{2} - \frac{x ^{4}}{2}

Simplify

= \frac{1 - x ^{4}}{2}

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What is the integral from x^2 to 1 of y ?
The integral from x^2 to 1 of y is (1-x^4)/2