What is the integral from-2 to-1 of 4x^3+2/(x^3) ?

The integral from-2 to-1 of 4x^3+2/(x^3) is -63/4

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integral from-2 to-1 of 4x^3+2/(x^3)

\int_{- 2}^{- 1} 4 x^{3} + \frac{2}{x ^{3}} d x

- \frac{63}{4}

Decimal

- 15.75

Solution steps

\int_{- 2}^{- 1} 4 x^{3} + \frac{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_{- 2}^{- 1} 4 x^{3} d x + \int_{- 2}^{- 1} \frac{2}{x ^{3}} d x

\int_{- 2}^{- 1} 4 x^{3} d x = - 15

\int_{- 2}^{- 1} \frac{2}{x ^{3}} d x = - \frac{3}{4}

= - 15 - \frac{3}{4}

Simplify

- 15 - \frac{3}{4} : - \frac{63}{4}

= - \frac{63}{4}

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

\int a^{2} - x^{\frac{2}{3}} d x

x \to 0 lim (- 0. 5^{2} + 1)

x \to 3 lim (- 3 x^{2})

y^{^{'}} = 5 y - t y^{2}

What is the integral from-2 to-1 of 4x^3+2/(x^3) ?
The integral from-2 to-1 of 4x^3+2/(x^3) is -63/4