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

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

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integral from 1 to infinity of 1/(y^2)

\int_{1}^{\infty} \frac{1}{y ^{2}} d y

1

Solution steps

\int_{1}^{\infty} \frac{1}{y ^{2}} d y

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- 1)

Simplify

= 1

y = \frac{x}{2}

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