integration of dx/sinx+tanx
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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:
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