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Popular >

integral from 0 to 3 of x^3-x

Solution

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

Solution

\frac{63}{4}

+1

Solution steps

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

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

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

= \frac{81}{4} - \frac{9}{2}

Simplify

\frac{81}{4} - \frac{9}{2} : \frac{63}{4}

= \frac{63}{4}

Popular Examples

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f (x) = (4 x^{4} - 7 x^{2} + 6)

derivative of (x+1/x)^3 derivative of

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limit as x approaches 2 of 5x^3-9x^2+7

x \to 2 lim (5 x^{3} - 9 x^{2} + 7)

integral of x^3*cos(x)

\int x^{3} \cdot cos (x) d x

xln(x)=y(1+sqrt(8+y^2))y^'(x),y(1)=1

x ln (x) = y (1 + 8 + y^{2}) y^{^{'}} (x), y (1) = 1

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^3-x ?
The integral from 0 to 3 of x^3-x is 63/4