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Popular >

integral from 4 to 5 of 16-x^2

Solution

\int_{4}^{5} 16 - x^{2} d x

Solution

- \frac{13}{3}

+1

Decimal

- 4.33333 \dots

Solution steps

\int_{4}^{5} 16 - 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}^{5} 16 d x - \int_{4}^{5} x^{2} d x

\int_{4}^{5} 16 d x = 16

\int_{4}^{5} x^{2} d x = \frac{61}{3}

= 16 - \frac{61}{3}

Simplify

16 - \frac{61}{3} : - \frac{13}{3}

= - \frac{13}{3}

Graph

Popular Examples

integral from 0 to 10 of 1/(1+x^2)

\int_{0}^{10} \frac{1}{1 + x ^{2}} d x

integral from 0 to 1 of x^2+x^4

\int_{0}^{1} x^{2} + x^{4} d x

integral from 0 to 1 of-x^2+2

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

integral from 0 to pi of θ

\int_{0}^{π} θ d θ

integral from 0 to pi/2 of (1+cos(x))^2

\int_{0}^{\frac{π}{2}} (1 + cos (x))^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 4 to 5 of 16-x^2 ?
The integral from 4 to 5 of 16-x^2 is -13/3