InterviewSolution
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InterviewSolution
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फलन `int(dx)/((asin x+b cosx)^(2))` का x के सापेक्ष समाकलन कीजिए । |
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Answer» माना `" "I=int(dx)/((a sin x +b cosx)^(2))` `=int(dx)/(cos^(2)x(a tanx+b)^(2))=int(sec^(2)xdx)/((atanx+b)^(2))` माना `a tan x+b = t therefore sec^(2)xdx=(1)/(a)dt` `thereofore " "I=(1)/(a)int(dt)/((t)^(2))=(1)/(a)int t^(-2)dt` `=-(1)/(a(t))=(-1)/(a(atanx+b))` |
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