What is the integral from 0 to infinity of sin^2(x) ?

The integral from 0 to infinity of sin^2(x) is diverges

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integral from 0 to infinity of sin^2(x)

\int_{0}^{\infty} sin^{2} (x) d x

diverges

Solution steps

\int_{0}^{\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_{0}^{\infty} sin^{2} (x) d x =

diverges

= diverges

x \to 5 lim ((3 x^{2} - x - 2) 0)

f (x) = arccsc (2 x^{4} - 5)

\int_{1}^{2} \frac{( x - 4 ) ^{2}}{x ^{5}} d x

(\frac{11}{8}, - \frac{1}{2}), (\frac{1}{4}, \frac{1}{4})

x \to 0 lim (\frac{sin ( 3 )}{2 x})

What is the integral from 0 to infinity of sin^2(x) ?
The integral from 0 to infinity of sin^2(x) is diverges