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Popular >

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

Solution

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

Solution

18

Solution steps

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

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

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

= 9 + 9

Simplify

= 18

Graph

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

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\int_{2}^{5} (6 x^{2} + 4 y - 3 y^{2}) d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x^2+2x) ?
The integral from 0 to 3 of (x^2+2x) is 18