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Popular >

integral from 1 to 3 of x^3-1

Solution

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

Solution

18

Solution steps

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

\int_{1}^{3} x^{3} d x = 20

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

= 20 - 2

Simplify

= 18

Popular Examples

integral from 1 to 3 of e^xln(x)

\int_{1}^{3} e^{x} ln (x) d x

integral from 1 to 3 of 2/x+1

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

integral from 0 to r of (br^2+cr)2pir

\int_{0}^{r} (b r^{2} + cr) 2 π r d r

integral from 0 to pi/3 of (cos(x)+sec(x))^2

\int_{0}^{\frac{π}{3}} (cos (x) + sec (x))^{2} d x

integral from 0 to 4 of sqrt(2-\sqrt{x)}

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^3-1 ?
The integral from 1 to 3 of x^3-1 is 18