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

The integral from 3 to-1 of x^3 is -20

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integral from 3 to-1 of x^3

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

- 20

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 1}^{3}

= - [\frac{x ^{4}}{4}]_{- 1}^{3}

Compute the boundaries:

20

= - 20

x^{^{'}} + 5 x = 6

y = \frac{1}{x - 2}

\int 2 cos (θ) + 2 d θ

\int \frac{1}{49 e ^{- 8 x} + e ^{8 x}} d x

\frac{d}{d x} (2 sin^{2} (π x))

What is the integral from 3 to-1 of x^3 ?
The integral from 3 to-1 of x^3 is -20