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CBSE Class 12-science Answered

 Integration dx/( sinx – 2cos x)(2 sinx + cos x)
Asked by haroonrashidgkp | 11 Nov, 2018, 03:54: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 2 sinx plus cosx over denominator sinx minus 2 cosx end fraction dx
Consider comma
straight f left parenthesis straight x right parenthesis equals sinx minus 2 cosx
straight f apostrophe left parenthesis straight x right parenthesis equals cosx space plus space 2 sinx
straight I equals integral fraction numerator straight f apostrophe left parenthesis straight x right parenthesis over denominator straight f left parenthesis straight x right parenthesis end fraction dx
straight I equals log open vertical bar straight f left parenthesis straight x right parenthesis close vertical bar plus straight c
straight I equals log open vertical bar sinx minus 2 cosx close vertical bar plus straight c end style
Answered by Sneha shidid | 12 Nov, 2018, 01:18: PM
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