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Popular >

integral from-1 to 2 of (x^2-5x)

Solution

\int_{- 1}^{2} (x^{2} - 5 x) d x

Solution

- \frac{9}{2}

+1

Solution steps

\int_{- 1}^{2} x^{2} - 5 x 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}^{2} x^{2} d x - \int_{- 1}^{2} 5 x d x

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

\int_{- 1}^{2} 5 x d x = \frac{15}{2}

= 3 - \frac{15}{2}

Simplify

3 - \frac{15}{2} : - \frac{9}{2}

= - \frac{9}{2}

Popular Examples

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\int_{0}^{1} π (- ln (x))^{2} d x

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\int_{9}^{10} - f (u) d u

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

\int_{1}^{0} \frac{1}{x ^{2}} d x

integral from 0 to-infinity of e^x

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

integral from 1 to 3 of (4x-1)

\int_{1}^{3} (4 x - 1) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x^2-5x) ?
The integral from-1 to 2 of (x^2-5x) is -9/2