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Popular >

integral from-1 to 1 of-x^2+9

Solution

\int_{- 1}^{1} - x^{2} + 9 d x

Solution

\frac{52}{3}

+1

Decimal Notation

17.33333 \dots

Solution steps

\int_{- 1}^{1} - x^{2} + 9 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{- 1}^{1} x^{2} d x + \int_{- 1}^{1} 9 d x

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

\int_{- 1}^{1} 9 d x = 18

= - \frac{2}{3} + 18

Simplify

- \frac{2}{3} + 18 : \frac{52}{3}

= \frac{52}{3}

Popular Examples

integral from 0 to 3 of (3x-2)/(x+1)

\int_{0}^{3} \frac{3 x - 2}{x + 1} d x

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\int_{0}^{8} \frac{2 x - 4}{x + 1} d x

integral from 0 to-2.5 of 100x

\int_{0}^{- 2.5} 100 x d x

integral from 0 to 8 of 7+\sqrt[3]{x}

integral from-6 to-3 of 2x^2+16x+34

\int_{- 6}^{- 3} 2 x^{2} + 16 x + 34 d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of-x^2+9 ?
The integral from-1 to 1 of-x^2+9 is 52/3