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Popular >

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

Solution

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

Solution

- \frac{8}{3}

+1

Solution steps

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

\int_{0}^{2} 2 x^{2} d x = \frac{16}{3}

\int_{0}^{2} 4 x d x = 8

= \frac{16}{3} - 8

Simplify

\frac{16}{3} - 8 : - \frac{8}{3}

= - \frac{8}{3}

Popular Examples

integral from 1 to infinity of x^p

\int_{1}^{\infty} x^{p} d x

integral from-1 to 2 of 2+x-x^2

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

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\int_{0}^{π} ∣ x ∣ d x

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

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

integral from 0 to 2 of e^{-st}t

\int_{0}^{2} e^{- s t} t d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 2x^2-4x ?
The integral from 0 to 2 of 2x^2-4x is -8/3