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Popular >

integral from 0 to 4 of 25-x^2

Solution

\int_{0}^{4} 25 - x^{2} d x

Solution

\frac{236}{3}

+1

Decimal Notation

78.66666 \dots

Solution steps

\int_{0}^{4} 25 - 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} 25 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 25 d x = 100

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

= 100 - \frac{64}{3}

Simplify

100 - \frac{64}{3} : \frac{236}{3}

= \frac{236}{3}

Popular Examples

integral from-1 to 2 of 3

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

integral from 0 to x of e^{2t}

\int_{0}^{x} e^{2 t} d t

integral from-3 to 3 of-5/(x^3)

\int_{- 3}^{3} - \frac{5}{x ^{3}} d x

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

\int_{- 1}^{0} \frac{1}{1 - x} d x

integral from 1 to ln(x) of (t^2+3)

\int_{1}^{l n (x)} (t^{2} + 3) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 25-x^2 ?
The integral from 0 to 4 of 25-x^2 is 236/3