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Popular >

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

Solution

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

Solution

\frac{45}{2}

+1

Decimal

22.5

Solution steps

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

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

\int_{0}^{3} 3 x d x = \frac{27}{2}

= 9 + \frac{27}{2}

Simplify

9 + \frac{27}{2} : \frac{45}{2}

= \frac{45}{2}

Graph

Popular Examples

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

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

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\int_{0}^{0.5} 4 x^{3} d x

integral from-3 to e-4 of 1/(x+4)

\int_{- 3}^{e - 4} \frac{1}{x + 4} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x^2+3x) ?
The integral from 0 to 3 of (x^2+3x) is 45/2