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Popular >

integral from-2 to 0 of 3x^3-12x

Solution

\int_{- 2}^{0} 3 x^{3} - 12 x d x

Solution

12

Solution steps

\int_{- 2}^{0} 3 x^{3} - 12 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_{- 2}^{0} 3 x^{3} d x - \int_{- 2}^{0} 12 x d x

\int_{- 2}^{0} 3 x^{3} d x = - 12

\int_{- 2}^{0} 12 x d x = - 24

= - 12 - (- 24)

Simplify

= 12

Graph

Popular Examples

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\int_{0}^{4} (x^{2} + 6 x) d x

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\int_{- 0.5}^{0} b + 2 b x d x

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\int_{- 1}^{1} (x^{5} - 4 x^{2} + x - 1) d x

integral from 0 to 1 of t^2+t

\int_{0}^{1} t^{2} + t d t

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\int_{1}^{2} t \frac{1}{2} t^{2} + 6 d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of 3x^3-12x ?
The integral from-2 to 0 of 3x^3-12x is 12