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Popular Calculus >

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

Popular Examples

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\int_{0}^{π} x sin (\frac{n x}{2}) d x

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\int_{0}^{1} x^{2} cos (nπ x) d x

integral from 0 to 1 of x^3sqrt(1+x^2)

\int_{0}^{1} x^{3} 1 + x^{2} d x

integral from 1 to 3 of x^2+2

\int_{1}^{3} x^{2} + 2 d x

integral from a to b of cos(x)

\int_{a}^{b} cos (x) d x

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