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

The integral from 1 to infinity of 2/(x^3) is 1

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

\int_{1}^{\infty} \frac{2}{x ^{3}} d x

1

Solution steps

\int_{1}^{\infty} \frac{2}{x ^{3}} d x

Compute the indefinite integral:

\int \frac{2}{x ^{3}} d x = - \frac{1}{x ^{2}} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{2}{x ^{3}} d x = 0 - (- 1)

= 0 - (- 1)

Simplify

= 1

2 y^{^{''}} + 4 y = 0

\frac{d}{d x} (\frac{1}{x ( 1 + ln ( x ) )})

\int x (x + 3)^{2} d x

(3 x^{2} + 3 x - 1)^{4}

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