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Popular >

integral from-1 to 1 of x^2+2x

Solution

\int_{- 1}^{1} x^{2} + 2 x d x

Solution

\frac{2}{3}

+1

Solution steps

\int_{- 1}^{1} 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_{- 1}^{1} x^{2} d x + \int_{- 1}^{1} 2 x d x

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

\int_{- 1}^{1} 2 x d x = 0

= \frac{2}{3} + 0

Simplify

= \frac{2}{3}

Popular Examples

integral from 0 to 25 of sqrt(y)+11

\int_{0}^{25} y + 11 d y

integral from 0 to infinity of 18e^{-2x}

\int_{0}^{\infty} 18 e^{- 2 x} d x

integral from 0 to 25 of sin(x)

\int_{0}^{25} sin (x) d x

integral from 2 to 3 of x^3+x

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

integral from 0 to 4 of (1+x/2)

\int_{0}^{4} (1 + \frac{x}{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2+2x ?
The integral from-1 to 1 of x^2+2x is 2/3