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Popular >

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

Solution

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

Solution

\frac{329}{6}

+1

Decimal Notation

54.83333 \dots

Solution steps

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

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} x d x = \frac{21}{2}

= \frac{133}{3} + \frac{21}{2}

Simplify

\frac{133}{3} + \frac{21}{2} : \frac{329}{6}

= \frac{329}{6}

Popular Examples

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\int_{0}^{1} sin (x π) d x

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\int_{1}^{e} \frac{x ^{5} - 2 x + 1}{x} d x

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\int_{0}^{2} x^{2} 4 - x d x

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\int_{2}^{10} \frac{1}{1 - x ^{2}} d x

integral from 2 to x^3 of ln(t^2)

\int_{2}^{x^{3}} ln (t^{2}) d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of (x^2+x) ?
The integral from-2 to 5 of (x^2+x) is 329/6