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Popular >

integral from 0 to 3 of (x^2+x)

Solution

\int_{0}^{3} (x^{2} + x) d x

Solution

\frac{27}{2}

+1

Decimal Notation

13.5

Solution steps

\int_{0}^{3} 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_{0}^{3} x^{2} d x + \int_{0}^{3} x d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} x d x = \frac{9}{2}

= 9 + \frac{9}{2}

Simplify

9 + \frac{9}{2} : \frac{27}{2}

= \frac{27}{2}

Popular Examples

integral from 2 to 4 of (e^x)/x

\int_{2}^{4} \frac{e ^{x}}{x} d x

integral from 0 to 2 of 5^s

\int_{0}^{2} 5^{s} d s

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\int_{0}^{3} \frac{x ^{3} - 6 x ^{2} - 7 x}{x} d x

integral from 7 to 9 of x^2+2x-8

\int_{7}^{9} x^{2} + 2 x - 8 d x

integral from 0 to 1 of 16xe^x

\int_{0}^{1} 16 x e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x^2+x) ?
The integral from 0 to 3 of (x^2+x) is 27/2