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Popular >

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

Solution

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

Solution

\frac{40}{3}

+1

Decimal

13.33333 \dots

Solution steps

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

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

\int_{- 2}^{2} 2 d x = 8

= \frac{16}{3} + 8

Simplify

\frac{16}{3} + 8 : \frac{40}{3}

= \frac{40}{3}

Graph

Popular Examples

integral from-5 to 10 of e^{-0.05x}

\int_{- 5}^{10} e^{- 0.05 x} d x

integral from-2 to 1 of 2-y-y^2

\int_{- 2}^{1} 2 - y - y^{2} d y

integral from 0 to ln(2x) of sin(5e^t)

\int_{0}^{l n (2 x)} sin (5 e^{t}) d t

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

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

integral from 2 to 3 of 2/(1+x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2+2) ?
The integral from-2 to 2 of (x^2+2) is 40/3