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Popular >

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

Solution

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

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

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

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

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

= 4 + \frac{8}{3}

Simplify

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

= \frac{20}{3}

Graph

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\int_{0}^{1} 4 x e^{- 2 x^{2}} d x

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\int_{1}^{2} 8 x^{3} + \frac{6}{x ^{2}} d x

integral from-1 to 1 of (4x^2-16/3)

\int_{- 1}^{1} (4 x^{2} - \frac{16}{3}) d x

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\int_{a}^{b} (x - a) (x - b) d x

integral from 0 to infinity of x^2ln(x)

\int_{0}^{\infty} x^{2} ln (x) d x

Frequently Asked Questions (FAQ)

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