Question

cot x(cosec x – 1)e*dx​

Answer 1

Step-by-step explanation:

there is a misprint in the question.

the original question is ∫cosecx(cotx-1)ex dx

which is of the form ∫{[f(x)+f'(x)]ex} dx=f(x)ex+C

therefore

∫cosecx(cotx-1)exdx=∫[cosecxcotx-cosecx]exdx=-cosecxex+C

hope this helps you.