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

The integral from 1 to infinity of sin^2(x) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to infinity of sin^2(x)

\int_{1}^{\infty} sin^{2} (x) d x

diverges

Solution steps

\int_{1}^{\infty} sin^{2} (x) d x

Compute the indefinite integral:

\int sin^{2} (x) d x = \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + C

Compute the boundaries:

\int_{1}^{\infty} sin^{2} (x) d x =

diverges

= diverges

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