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

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

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

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

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

\int_{- \infty}^{0} e^{- ∣ 8 x ∣} d x

\int_{0}^{1} \frac{2}{4 x + 5} d x

\int_{1}^{3} (x + \frac{1}{x}) (x^{2} - 3 x) d x

\int_{1}^{6} x + 3 d x

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