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Popular >

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

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 0 + \frac{16}{3}

Simplify

= \frac{16}{3}

Graph

Popular Examples

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

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\int_{1}^{2} \frac{3 ^{2 l n (x)}}{x} d x

integral from-v to v of cos(u/v)

\int_{- v}^{v} cos (\frac{u}{v}) d u

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\int_{- h}^{η} cosh^{2} (k (h + z)) d z

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x+x^2) ?
The integral from-2 to 2 of (x+x^2) is 16/3