Why is this divergent?
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Step-by-step 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.