Evaluate the following integrals:∫ cot3x cosec2x dx

Assume cotx = t⇒ d(cotx) = dt⇒ - cosec2x.dx = dt⇒ ∴ Substituting t and dt in the given equation we get⇒ ⇒ ⇒ ⇒ But t = cotx⇒ .

Q7 of 865 Page 20

Evaluate the following integrals:
∫ cot³x cosec²x dx

Assume cotx = t

⇒ d(cotx) = dt

⇒ - cosec²x.dx = dt

⇒

∴ Substituting t and dt in the given equation we get

⇒

But t = cotx

⇒ .

Evaluate the following integrals: