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Popular >

integral from 0 to 5 of 16-x^2

Solution

\int_{0}^{5} 16 - x^{2} d x

Solution

\frac{115}{3}

+1

Decimal

38.33333 \dots

Solution steps

\int_{0}^{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_{0}^{5} 16 d x - \int_{0}^{5} x^{2} d x

\int_{0}^{5} 16 d x = 80

\int_{0}^{5} x^{2} d x = \frac{125}{3}

= 80 - \frac{125}{3}

Simplify

80 - \frac{125}{3} : \frac{115}{3}

= \frac{115}{3}

Graph

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\int_{0}^{0.75} 2 d y

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

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\int_{0}^{1} 6 x^{2} cos (x^{3}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 16-x^2 ?
The integral from 0 to 5 of 16-x^2 is 115/3