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Popular >

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

Solution

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

Solution

\frac{40}{3}

+1

Decimal

13.33333 \dots

Solution steps

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

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

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

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

= \frac{16}{3} + 0 + 8

Simplify

\frac{16}{3} + 0 + 8 : \frac{40}{3}

= \frac{40}{3}

Graph

Popular Examples

integral from-2 to 2 of-(1-x^2)

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

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\int_{5}^{7} ∣ f (3 x) ∣ d x

integral from 0 to 15 of x

\int_{0}^{15} x d x

integral from 0 to 1 of (x+3)e^{2x}

\int_{0}^{1} (x + 3) e^{2 x} d x

integral from 3 to 7 of 3

\int_{3}^{7} 3 d x

Frequently Asked Questions (FAQ)

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