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Popular Calculus >

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

Solution

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

Solution

\frac{75}{4}

+1

Decimal

18.75

Solution steps

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

\int_{2}^{3} 3 x^{3} d x = \frac{195}{4}

\int_{2}^{3} 12 x d x = 30

= \frac{195}{4} - 30

Simplify

\frac{195}{4} - 30 : \frac{75}{4}

= \frac{75}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of 3x^3-12x ?
The integral from 2 to 3 of 3x^3-12x is 75/4