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Popular Calculus >

integral from-1 to 1 of-x^2+4

Solution

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

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

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

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

\int_{- 1}^{1} 4 d x = 8

= - \frac{2}{3} + 8

Simplify

- \frac{2}{3} + 8 : \frac{22}{3}

= \frac{22}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of-x^2+4 ?
The integral from-1 to 1 of-x^2+4 is 22/3