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Popular >

integral from 0 to 4 of x^2+2x

Solution

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

Solution

\frac{112}{3}

+1

Decimal

37.33333 \dots

Solution steps

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

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 2 x d x = 16

= \frac{64}{3} + 16

Simplify

\frac{64}{3} + 16 : \frac{112}{3}

= \frac{112}{3}

Graph

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\int_{1}^{4} \frac{3}{2 x} d x

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\int_{- 1}^{0} x e^{- ik x} d x

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

\int_{1}^{3} x^{2} + \frac{1}{x ^{2}} d x

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\int_{\frac{π}{2}}^{x} sin (15 t) d t

integral from 0 to 8 of x/8

\int_{0}^{8} \frac{x}{8} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2+2x ?
The integral from 0 to 4 of x^2+2x is 112/3