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Popular >

integral from-3 to 2 of 2x^3-4x

Solution

\int_{- 3}^{2} 2 x^{3} - 4 x d x

Solution

- \frac{45}{2}

+1

Decimal

- 22.5

Solution steps

\int_{- 3}^{2} 2 x^{3} - 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_{- 3}^{2} 2 x^{3} d x - \int_{- 3}^{2} 4 x d x

\int_{- 3}^{2} 2 x^{3} d x = - \frac{65}{2}

\int_{- 3}^{2} 4 x d x = - 10

= - \frac{65}{2} - (- 10)

Simplify

- \frac{65}{2} - (- 10) : - \frac{45}{2}

= - \frac{45}{2}

Graph

Popular Examples

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\int_{- 7}^{0} (1 + 49 - x^{2}) d x

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\int_{4}^{7} \frac{2 x}{8 - x} d x

integral from x to 0 of e^{-10t}

\int_{x}^{0} e^{- 10 t} d t

integral from 0 to 1 of cos(wx)

\int_{0}^{1} cos (w x) d x

integral from-1 to 5 of sqrt(2x+6)-x+1

\int_{- 1}^{5} 2 x + 6 - x + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of 2x^3-4x ?
The integral from-3 to 2 of 2x^3-4x is -45/2