Math, asked by ankit3198, 1 year ago

integration of dx/sinx+tanx

Answers

Answered by Brendancrawford
1

Answer:


Step-by-step explanation:

I=∫dxsinx+tanx

Substitute tanx2=t ; dx=2dt1+t2 ; sinx=2t1+t2 ; tanx=2t1−t2

I=∫2dt1+t22t1+t2+2t1−t2=∫1−t22tdt=ln|t|2−t24+C  

=ln∣∣tanx2∣∣2−tan2x24+C


Brendancrawford: brainliest plz
ankit3198: what
ankit3198: its incorrect
Answered by SahilChandravanshi
2
Hope this will help u... :-)
Attachments:

ankit3198: 4th line from last doesn't makes any sense....i suggest partial fraction could b used
SahilChandravanshi: yaa but it is lengthy process
ankit3198: i didn't got ur procedure from the last 4th line
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