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Popular >

integral from 0 to 5 of 6x-x^2

Solution

\int_{0}^{5} 6 x - x^{2} d x

Solution

\frac{100}{3}

+1

Decimal Notation

33.33333 \dots

Solution steps

\int_{0}^{5} 6 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}^{5} 6 x d x - \int_{0}^{5} x^{2} d x

\int_{0}^{5} 6 x d x = 75

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

= 75 - \frac{125}{3}

Simplify

75 - \frac{125}{3} : \frac{100}{3}

= \frac{100}{3}

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(dy)/(dx)= 1/(xy^3)

\frac{d y}{d x} = \frac{1}{x y ^{3}}

area y=3x+2,y=x^3 area

y = 3 x + 2, y = x^{3}

inverse oflaplace 8/(s^2+8s)inverse laplace

\frac{8}{s ^{2} + 8 s}

area y=0,y=x^3+8,[-3,-1]area

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 6x-x^2 ?
The integral from 0 to 5 of 6x-x^2 is 100/3