InterviewSolution
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InterviewSolution
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`int(dx)/(e^(x)+e^(-x)+2)` is equal toA. `(1)/(e^(x)+1)+C`B. `(1)/(e^(x)+1)+C`C. `(1)/(1+e^(-x))+C`D. None of these |
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Answer» Correct Answer - D `l=int(dx)/(e^(x)+e^(-x)+2)=int(e^(x)dx)/(e^(2x)+2e^(x)+1)=int(e^(x))/((e^(x)+1)^(2))dx` Put, `e^(x)+1=t` `therefore" "e^(x)dx=dt` `therefore" "l=int(dt)/(t^(2))=-(1)/(t)+C=(-1)/(e^(x)+1)+C` |
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