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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

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

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\int_{3}^{7} 5 x^{3} e^{- x} d x

integral from 0 to 1 of x^{-0.5}ln(x)

\int_{0}^{1} x^{- 0.5} ln (x) 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