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Popular >

integral from 2 to 3 of x^3-4x

Solution

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

Solution

\frac{25}{4}

+1

Decimal

6.25

Solution steps

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

\int_{2}^{3} x^{3} d x = \frac{65}{4}

\int_{2}^{3} 4 x d x = 10

= \frac{65}{4} - 10

Simplify

\frac{65}{4} - 10 : \frac{25}{4}

= \frac{25}{4}

Graph

Popular Examples

integral from 8 to 10 of x/8-8/x

\int_{8}^{10} \frac{x}{8} - \frac{8}{x} d x

integral from 3 to 5 of 3

\int_{3}^{5} 3 d x

integral from-1 to 2 of x-1

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

integral from 0 to 6 of 1/((x-9)^{2/3)}

\int_{0}^{6} \frac{1}{( x - 9 ) ^{\frac{2}{3}}} d x

integral from 0 to 3 of 4^{5x}

\int_{0}^{3} 4^{5 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^3-4x ?
The integral from 2 to 3 of x^3-4x is 25/4