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

The integral from-3 to 2 of-x^2 is -35/3

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integral from-3 to 2 of-x^2

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

- \frac{35}{3}

Decimal

- 11.66666 \dots

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{35}{3}

= - \frac{35}{3}

\int_{1}^{x} t^{2} - 1 d t

\int_{0}^{2} e^{x} x^{3} d x

\int_{0}^{4} ln (1 + x) d x

\int_{0}^{5} x (5 - x) d x

\int_{\infty}^{0} x e^{- 4 x} d x

What is the integral from-3 to 2 of-x^2 ?
The integral from-3 to 2 of-x^2 is -35/3