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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

Popular Examples

integral from 0 to h of y^2

\int_{0}^{h} y^{2} d y

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

integral from e to x of sin(t)

\int_{e}^{x} sin (t) d t

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\int_{0}^{\frac{1}{2}} x (1 - 4 x^{2})^{10} 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