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Popular >

integral from 0 to 8 of (x^2-5)

Solution

\int_{0}^{8} (x^{2} - 5) d x

Solution

\frac{392}{3}

+1

Decimal Notation

130.66666 \dots

Solution steps

\int_{0}^{8} x^{2} - 5 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_{0}^{8} x^{2} d x - \int_{0}^{8} 5 d x

\int_{0}^{8} x^{2} d x = \frac{512}{3}

\int_{0}^{8} 5 d x = 40

= \frac{512}{3} - 40

Simplify

\frac{512}{3} - 40 : \frac{392}{3}

= \frac{392}{3}

Popular Examples

integral from pi/2 to pi of 0

\int_{\frac{π}{2}}^{π} 0 d x

integral from 0 to pi/3 of 2xcos(x)

\int_{0}^{\frac{π}{3}} 2 x cos (x) d x

integral from 1 to 9 of-x^2+10x-9

\int_{1}^{9} - x^{2} + 10 x - 9 d x

integral from-3 to 1 of (x-3)

\int_{- 3}^{1} (x - 3) d x

integral from-1 to 3 of (3x^2-2)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of (x^2-5) ?
The integral from 0 to 8 of (x^2-5) is 392/3