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Popular >

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

Solution

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

Solution

\frac{20}{3}

+1

Solution steps

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

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

= \frac{8}{3} + 4

Simplify

\frac{8}{3} + 4 : \frac{20}{3}

= \frac{20}{3}

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\int_{- 1}^{1} sin^{7} (x) d x

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\int_{0}^{7} π (2 3 y)^{2} d y

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\int_{0}^{1} 3 x e^{x} d x

integral from-2 to 2 of 0

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

integral from 0 to 9 of x/(sqrt(9+3x))

\int_{0}^{9} \frac{x}{9 + 3 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2+2) ?
The integral from 0 to 2 of (x^2+2) is 20/3