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Choose the correct answerinte^xsecx(1+ta...

Choose the correct answer`inte^xsecx(1+tanx)dx`
(A) `e^xcosx+C` (B) `e^xsecx+C` (C) `e^xsinx+C` (D) `e^xtanx+C`

Text Solution

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Let `I=int e^xsecx(1+tanx)dx=int e^x(secx+secx tanx)dx`
Also, let `secx=f(x)implies secxtanx=f'(x)`
We know that `int e^x{f(x)+f'(x)}=e^xf(x)+C`
`I=e^secx+C`
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