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Popular >

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

Solution

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

Solution

- \frac{32}{3}

+1

Decimal Notation

- 10.66666 \dots

Solution steps

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

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

\int_{0}^{4} 4 x d x = 32

= \frac{64}{3} - 32

Simplify

\frac{64}{3} - 32 : - \frac{32}{3}

= - \frac{32}{3}

Popular Examples

derivative of 1/(t+1)derivative of

\frac{1}{t + 1}

integral of te^{-5t}

\int t e^{- 5 t} d t

limit as x approaches 5 of x^2-8x+15

x \to 5 lim (x^{2} - 8 x + 15)

limit as x approaches 0 of 2/(sqrt(x))

x \to 0 lim (\frac{2}{x})

derivative of f(x)=x^2(2/(x^2)+5/(x^3))derivative of

f (x) = x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2-4x ?
The integral from 0 to 4 of x^2-4x is -32/3