What is the integral from 0 to pi/2 of csc^2(x) ?

The integral from 0 to pi/2 of csc^2(x) is diverges

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integral from 0 to pi/2 of csc^2(x)

\int_{0}^{\frac{π}{2}} csc^{2} (x) d x

diverges

Solution steps

\int_{0}^{\frac{π}{2}} csc^{2} (x) d x

Use the common integral:

\int csc^{2} (x) d x = - cot (x)

= [- cot (x)]_{0}^{\frac{π}{2}}

Compute the boundaries:

diverges

= diverges

\int_{- 4}^{3} - x^{3} + 27 x + 140 - 6 x^{2} d x

\int_{0}^{2} x - x^{2} d x

\int_{0}^{\frac{π}{2}} sin^{5} (θ) d θ

\int_{0}^{2 π} (cos (x))^{6} d x

\int_{0}^{π} 11 x sin (x) d x

What is the integral from 0 to pi/2 of csc^2(x) ?
The integral from 0 to pi/2 of csc^2(x) is diverges