InterviewSolution
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InterviewSolution
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`int{1+2tanx(tanx+secx)}^(1//2)dx` is equal toA. `log(secx+tanx)+C`B. `log(secx+tanx)^(1//2)+C`C. `log secx(secx+tanx)+C`D. None of the above |
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Answer» Correct Answer - C Let `l=int{1+2 tan x(tanx+secx)}^(1//2)dx` `=int{1+2 tan^(2)x+2 tanx secx}^(1//2)dx` `=int{sec^(2)x+tan^(2)x+2tanx secx}^(1//2)dx` `=int(secx+tanx)dx` `=log(secx+tanx)+log secx+C` `=log secx(secx+tanx)+C` |
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