InterviewSolution
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InterviewSolution
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Evaluate: `inte^xsecx (1+tanx) dx`A. `e^(x) sec x+C`B. `e^(x) sin x+C`C. `e^(x) tan x+C`D. |
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Answer» Correct Answer - b `" Let " I= int e^(x) sec x(1+tanx) dx` `rArr I= int e^(x) sec x dx + int e^(x) sec x tan x dx " " .....(1)` `" Now " int e^(x) sec x dx` ` = sec x int e^(x) dx- int ((d)/(dx) sec x int e^(x) dx)dx` ` =e^(x) sec x- int sec x tan x e^(x) dx" " .....(2)` Put the value from equation (2) to equation (1) ` I=e^(x) sec x- int e^(x) sec x tan xdx` `+ int sec x tan xe^(x) dx+C` `rArr I=e^(x) sec x+C` |
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