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Popular >

integral from 3 to 4 of (x^2-9)

Solution

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

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

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

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

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

= \frac{37}{3} - 9

Simplify

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

= \frac{10}{3}

Graph

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Frequently Asked Questions (FAQ)

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