What is the integral from 2 to 3 of-x^2 ?

The integral from 2 to 3 of-x^2 is -19/3

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integral from 2 to 3 of-x^2

\int_{2}^{3} - x^{2} d x

- \frac{19}{3}

Decimal

- 6.33333 \dots

Solution steps

\int_{2}^{3} - x^{2} d x

Take the constant out:

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

= - \int_{2}^{3} x^{2} d x

Apply the Power Rule

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

Compute the boundaries:

\frac{19}{3}

= - \frac{19}{3}

What is the integral from 2 to 3 of-x^2 ?
The integral from 2 to 3 of-x^2 is -19/3