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Popular Calculus >

integral from-3 to-1 of (5-2x^3)

Solution

\int_{- 3}^{- 1} (5 - 2 x^{3}) d x

Solution

50

Solution steps

\int_{- 3}^{- 1} 5 - 2 x^{3} 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_{- 3}^{- 1} 5 d x - \int_{- 3}^{- 1} 2 x^{3} d x

\int_{- 3}^{- 1} 5 d x = 10

\int_{- 3}^{- 1} 2 x^{3} d x = - 40

= 10 - (- 40)

Simplify

= 50

Graph

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\int_{0}^{2 π} - 294 sin^{2} (t) d t

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

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

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\int_{- 2}^{2} (- x^{2} + 5) d x

integral from 1 to 6 of x/6-6/x

\int_{1}^{6} \frac{x}{6} - \frac{6}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to-1 of (5-2x^3) ?
The integral from-3 to-1 of (5-2x^3) is 50