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Popular >

integral from 1 to 3 of (x^3-2x)

Solution

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

Solution

12

Solution steps

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

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

\int_{1}^{3} 2 x d x = 8

= 20 - 8

Simplify

= 12

Graph

Popular Examples

integral from-1 to-2 of 1/((x-1)^3)

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

integral from 0 to 4 of (x-2)(2x+1)

\int_{0}^{4} (x - 2) (2 x + 1) d x

integral from 0 to 1 of e^{x^{1/2}}

\int_{0}^{1} e^{x^{\frac{1}{2}}} d x

integral from-2 to 4 of-x+4

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

integral from-pi/4 to pi/4 of cos^2(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^3-2x) ?
The integral from 1 to 3 of (x^3-2x) is 12