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Popular Calculus >

integral from-4 to-3 of-9+x^2

Solution

\int_{- 4}^{- 3} - 9 + x^{2} d x

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

\int_{- 4}^{- 3} - 9 + 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_{- 4}^{- 3} 9 d x + \int_{- 4}^{- 3} x^{2} d x

\int_{- 4}^{- 3} 9 d x = 9

\int_{- 4}^{- 3} x^{2} d x = \frac{37}{3}

= - 9 + \frac{37}{3}

Simplify

- 9 + \frac{37}{3} : \frac{10}{3}

= \frac{10}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to-3 of-9+x^2 ?
The integral from-4 to-3 of-9+x^2 is 10/3