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Popular >

integral from 0 to 4 of (9-x^2)

Solution

\int_{0}^{4} (9 - x^{2}) d x

Solution

\frac{44}{3}

+1

Decimal Notation

14.66666 \dots

Solution steps

\int_{0}^{4} 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_{0}^{4} 9 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 9 d x = 36

\int_{0}^{4} x^{2} d x = \frac{64}{3}

= 36 - \frac{64}{3}

Simplify

36 - \frac{64}{3} : \frac{44}{3}

= \frac{44}{3}

Popular Examples

integral from 1 to 4 of 1/(x^3)

\int_{1}^{4} \frac{1}{x ^{3}} d x

integral from 0 to 2 of 1/((1-x)^3)

\int_{0}^{2} \frac{1}{( 1 - x ) ^{3}} d x

integral from-1 to 0 of (4x-1)

\int_{- 1}^{0} (4 x - 1) d x

integral from 1 to 6 of 5+sqrt(t)

\int_{1}^{6} 5 + t d t

integral from 0 to pi/2 of sin^2(u)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (9-x^2) ?
The integral from 0 to 4 of (9-x^2) is 44/3