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Popular Calculus >

integral from-1 to 1 of (x^2+5)

Solution

\int_{- 1}^{1} (x^{2} + 5) d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

\int_{- 1}^{1} x^{2} + 5 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} 5 d x

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

\int_{- 1}^{1} 5 d x = 10

= \frac{2}{3} + 10

Simplify

\frac{2}{3} + 10 : \frac{32}{3}

= \frac{32}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x^2+5) ?
The integral from-1 to 1 of (x^2+5) is 32/3