What is the integral from 0 to infinity of 3sin^2(a) ?

The integral from 0 to infinity of 3sin^2(a) is diverges

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integral from 0 to infinity of 3sin^2(a)

\int_{0}^{\infty} 3 sin^{2} (a) d a

diverges

Solution steps

\int_{0}^{\infty} 3 sin^{2} (a) d a

Compute the indefinite integral:

\int 3 sin^{2} (a) d a = \frac{3}{2} (a - \frac{1}{2} sin (2 a)) + C

Compute the boundaries:

\int_{0}^{\infty} 3 sin^{2} (a) d a =

diverges

= diverges

What is the integral from 0 to infinity of 3sin^2(a) ?
The integral from 0 to infinity of 3sin^2(a) is diverges