Question

integration cosec ^2/1+cot x dx​

Answer 1

Answer:

Explanation:12log∣∣∣1+cotx1−cotx∣∣∣+C  

−12log∣∣∣1+cotx1−cotx∣∣∣+C

12log∣∣∣1−cotx1+cotx∣∣∣+C

None of these

Answer :

B

Solution :

Put cotx=tand−cosec2xdx=dt.

∴I=−∫dt(1−t2)=−1(2×1)log∣∣∣1+t1−t∣∣∣+C=−12log∣∣∣1+cotx1−cotx∣∣∣+C

Answer 2

Answer:

Solution : Put cotx=tand-cosec2xdx =dt. ∴I=-∫dt(1-t2)=-1(2×1)log|1+t1-t|+C=-12 log|1+cotx1-cotx|+C. Related Videos.