Ava45018 Ava45018
  • 01-10-2020
  • Mathematics
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Why is this divergent?

Why is this divergent class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 01-10-2020

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.

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