Question

Why is this divergent?

Answer 1

Explanation:

Cosecant is undefined at π/2, so we can rewrite this integral as:

lim(u→π/2) ∫ᵤᵖⁱ 35 csc(x) dx

lim(u→π/2) 35 ln│csc(x) − cot(x)│|ᵤᵖⁱ

lim(u→π/2) [35 ln│csc(π) − cot(π)│ − 35 ln│csc(u) − cot(u)│]

undefined

The integral diverges.