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Popular >

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

Solution

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

Solution

\frac{28}{3}

+1

Decimal

9.33333 \dots

Solution steps

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

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

\int_{- 2}^{2} 1 d x = 4

= \frac{16}{3} + 4

Simplify

\frac{16}{3} + 4 : \frac{28}{3}

= \frac{28}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2+1) ?
The integral from-2 to 2 of (x^2+1) is 28/3