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Popular >

integral from 0 to 3 of 9x-x^3

Solution

\int_{0}^{3} 9 x - x^{3} d x

Solution

\frac{81}{4}

+1

Decimal

20.25

Solution steps

\int_{0}^{3} 9 x - 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} 9 x d x - \int_{0}^{3} x^{3} d x

\int_{0}^{3} 9 x d x = \frac{81}{2}

\int_{0}^{3} x^{3} d x = \frac{81}{4}

= \frac{81}{2} - \frac{81}{4}

Simplify

\frac{81}{2} - \frac{81}{4} : \frac{81}{4}

= \frac{81}{4}

Graph

Popular Examples

integral of (tan(x))^3

\int (tan (x))^{3} d x

integral of 5sin^2(xco)s^3x

\int 5 sin^{2} (x co) s^{3} x d x

limit as x approaches 5-of (x-5)/(|x-5|)

x \to 5 - lim (\frac{x - 5}{∣ x - 5 ∣})

integral of sinh(sqrt(x))

\int sinh (x) d x

derivative of ((x^2/(x^3-4x))^3)

\frac{d}{d x} ((\frac{x ^{2}}{x ^{3} - 4 x})^{3})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 9x-x^3 ?
The integral from 0 to 3 of 9x-x^3 is 81/4