InterviewSolution
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InterviewSolution
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If `int(sqrt(cotx))/(sinxcosx)dx=Psqrt(cotx)+Q,` then the value of P isA. `-2`B. 2C. 3D. `-3` |
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Answer» Correct Answer - A Let `l=int(sqrt(cotx))/(sinx cosx)dx=int("cosec"^(2)x sqrt(cotx)dx)/(cotx)` `" "["divide numerator and denominator by sin"^(2)x]` `=int("cosec"^(2)x)/(sqrt(cotx))dx` Put `cos x=t rArr -"cosec"^(2)x dx = dt` `therefore" "l=int(-dt)/(sqrtt)=(-t^(1//2))/(1//2)+C=-2sqrt(cotx)+C` `therefore" "P=-2` |
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