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Popular >

integral from-5 to 5 of (x^2-3)

Solution

\int_{- 5}^{5} (x^{2} - 3) d x

Solution

\frac{160}{3}

+1

Decimal

53.33333 \dots

Solution steps

\int_{- 5}^{5} x^{2} - 3 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_{- 5}^{5} x^{2} d x - \int_{- 5}^{5} 3 d x

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

\int_{- 5}^{5} 3 d x = 30

= \frac{250}{3} - 30

Simplify

\frac{250}{3} - 30 : \frac{160}{3}

= \frac{160}{3}

Graph

Popular Examples

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\int_{4}^{6} \frac{3 x - 4}{x ^{2} - x - 6} d x

integral from 0 to 4 of pi(4x-x^2)^2

\int_{0}^{4} π (4 x - x^{2})^{2} d x

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\int_{0}^{1} 13 x^{3} 1 - x^{2} d x

integral from 1 to 7 of 5

\int_{1}^{7} 5 d x

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

\int_{0}^{\frac{1}{2}} \frac{1}{( 1 - x ) x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (x^2-3) ?
The integral from-5 to 5 of (x^2-3) is 160/3