What is the integral from 3 to-1 of x^2 ?

The integral from 3 to-1 of x^2 is -28/3

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integral from 3 to-1 of x^2

\int_{3}^{- 1} x^{2} d x

- \frac{28}{3}

Decimal Notation

- 9.33333 \dots

Solution steps

\int_{3}^{- 1} x^{2} d x

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

= - \int_{- 1}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 1}^{3}

= - [\frac{x ^{3}}{3}]_{- 1}^{3}

Compute the boundaries:

\frac{28}{3}

= - \frac{28}{3}

x \to - 3 lim (\frac{\frac{3}{x} + 1}{x + 3})

\frac{d y}{d x} = 2 y + x^{2} + 5

y^{^{'}} + \frac{3}{2} y = 1 - \frac{1}{3} t

\frac{d}{d x} ((3 x^{2} - 9)^{- 13})

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

What is the integral from 3 to-1 of x^2 ?
The integral from 3 to-1 of x^2 is -28/3