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Popular >

integral from 0 to 3 of 10x-2x^3

Solution

\int_{0}^{3} 10 x - 2 x^{3} d x

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

\int_{0}^{3} 10 x - 2 x^{3} 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}^{3} 10 x d x - \int_{0}^{3} 2 x^{3} d x

\int_{0}^{3} 10 x d x = 45

\int_{0}^{3} 2 x^{3} d x = \frac{81}{2}

= 45 - \frac{81}{2}

Simplify

45 - \frac{81}{2} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

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

integral from 1 to 3 of (x-4x^2)/(x^3)

\int_{1}^{3} \frac{x - 4 x ^{2}}{x ^{3}} d x

integral from-pi to 0 of cos(n)x

\int_{- π}^{0} cos (n) x d x

integral from 0 to 5 of x^2+2x-3

\int_{0}^{5} x^{2} + 2 x - 3 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 10x-2x^3 ?
The integral from 0 to 3 of 10x-2x^3 is 9/2