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

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

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

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

3

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- 3)

Simplify

= 3

x \to - 4 lim (x^{2} - 8)

\int \frac{1}{( 3 x + 5 ) ^{3}} d x

f (x) = 2 x^{3} - 9 x^{2} + 12 x - 6

\frac{d y}{d t} = k (y - 20)

\frac{( 1 - e ^{- 3 s} )}{s}

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