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Popular >

integral from 0 to 2 of x^2+4

Solution

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

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

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

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

\int_{0}^{2} 4 d x = 8

= \frac{8}{3} + 8

Simplify

\frac{8}{3} + 8 : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from 0 to 3 of x/(1+sqrt(x+1))

\int_{0}^{3} \frac{x}{1 + x + 1} d x

integral from 0 to 1 of x^3e^{x^4}

\int_{0}^{1} x^{3} e^{x^{4}} d x

integral from pi/6 to 1.56 of tan(x)

\int_{\frac{π}{6}}^{1.56} tan (x) d x

integral from 0 to 8 of x^{1/3}

\int_{0}^{8} x^{\frac{1}{3}} d x

integral from 0 to 4 of sqrt(4x)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2+4 ?
The integral from 0 to 2 of x^2+4 is 32/3