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Popular >

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

Solution

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

Solution

12

Solution steps

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

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

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

= 20 - 8

Simplify

= 12

Popular Examples

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\int - 2 y^{2} d y

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x \to 0 lim (\frac{x}{3})

integral of ((x^2+1)^2)/(sqrt(x))

\int \frac{( x ^{2} + 1 ) ^{2}}{x} d x

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4 sin (x)

derivative of 5x^{2/3}

\frac{d}{d x} (5 x^{\frac{2}{3}})

Frequently Asked Questions (FAQ)

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