What is the integral from 4 to 2 of x^2 ?

The integral from 4 to 2 of x^2 is -56/3

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integral from 4 to 2 of x^2

\int_{4}^{2} x^{2} d x

- \frac{56}{3}

Decimal

- 18.66666 \dots

Solution steps

\int_{4}^{2} x^{2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{4} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{4}

= - [\frac{x ^{3}}{3}]_{2}^{4}

Compute the boundaries:

\frac{56}{3}

= - \frac{56}{3}

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What is the integral from 4 to 2 of x^2 ?
The integral from 4 to 2 of x^2 is -56/3