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Question

Integrate the following function: secx(secx+tanx)dx

A
tanx+1cosx+c
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B
cotx+1sinx+c
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C
tanx1cosx+c
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D
cotx1cosx+c
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Solution

The correct option is A tanx+1cosx+c
I=sec x(sec x+tan x)dx

I=(sec2x+sec x.tan x)dx

I=sec2 x dx+sec x.tan x dx

I=tan x+sec x+C

I=tanx+1cosx+C

Correct option is A

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