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Popular >

integral from 0 to 4 of 5-x^2

Solution

\int_{0}^{4} 5 - x^{2} d x

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

\int_{0}^{4} 5 - 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} 5 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 5 d x = 20

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

= 20 - \frac{64}{3}

Simplify

20 - \frac{64}{3} : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

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

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

integral from 1 to 4 of x^2+3x+2

\int_{1}^{4} x^{2} + 3 x + 2 d x

integral from 0 to infinity of 1-e^{-x}

\int_{0}^{\infty} 1 - e^{- x} d x

integral from 0 to 1 of 1+2x+2y

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

integral from 0 to 1 of 2ysqrt(26+36y^2)

\int_{0}^{1} 2 y 26 + 36 y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 5-x^2 ?
The integral from 0 to 4 of 5-x^2 is -4/3