InterviewSolution
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InterviewSolution
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`inte^(tanx)(sec^(2)x+sec^(3)x sinx)dx` is equal toA. `sec x e^(tanx)+C`B. `tanx e^(tanx)+C`C. `e^(tanx)+tanx+C`D. `(1+tanx)e^(tanx)+C` |
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Answer» Correct Answer - B Let `l=int e^(tanx)(sec^(2)x+sec^(3)x sinx)dx` `=inte^(tanx)(1+tanx)sec^(2)xdx` Put `tan x= t rArr sec^(2)x dx=dt` `l=int e^(t)(1+t)dt=e^(t)+intte^(t)dt` `=e^(t)+te^(t)-e^(t)+C=te^(t)+C= tanx e^(tanx)+C` |
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