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Popular >

integral from 0 to 4 of 5x-x^2

Solution

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

Solution

\frac{56}{3}

+1

Decimal

18.66666 \dots

Solution steps

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

\int_{0}^{4} 5 x d x = 40

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

= 40 - \frac{64}{3}

Simplify

40 - \frac{64}{3} : \frac{56}{3}

= \frac{56}{3}

Graph

Popular Examples

integral of e^uu

\int e^{u} u d u

integral of 1/(sqrt(29-x^2))

\int \frac{1}{29 - x ^{2}} d x

derivative of ln(x+sqrt(9+x^2))

\frac{d}{d x} (ln (x + 9 + x^{2}))

area 2x+1,x^2-4x area

2 x + 1, x^{2} - 4 x

(d^2)/(dx^2)((e^x)/(5+e^x))

\frac{d ^{2}}{d x ^{2}} (\frac{e ^{x}}{5 + e ^{x}})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 5x-x^2 ?
The integral from 0 to 4 of 5x-x^2 is 56/3