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Popular >

integral from 2 to 3 of x^3-1

Solution

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

Solution

\frac{61}{4}

+1

Decimal Notation

15.25

Solution steps

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

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

\int_{2}^{3} 1 d x = 1

= \frac{65}{4} - 1

Simplify

\frac{65}{4} - 1 : \frac{61}{4}

= \frac{61}{4}

Popular Examples

integral from pi/4 to pi/2 of 7cot^3(x)

\int_{\frac{π}{4}}^{\frac{π}{2}} 7 cot^{3} (x) d x

integral from 1.5 to 2 of (2-x)

\int_{1.5}^{2} (2 - x) d x

integral from 0 to-4 of x/(16-2x^2)

\int_{0}^{- 4} \frac{x}{16 - 2 x ^{2}} d x

integral from 0 to 2 of 16

\int_{0}^{2} 16 d x

integral from 1 to 3 of-x^2+3x+2

\int_{1}^{3} - x^{2} + 3 x + 2 d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^3-1 ?
The integral from 2 to 3 of x^3-1 is 61/4