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Question

Question: \(- 5\sin x + c\)...

−5sin⁡x+c- 5\sin x + c

A

∫tan⁡xsec⁡x+tan⁡x 6mudx=\int_{}^{}{\frac{\tan x}{\sec x + \tan x}\mspace{6mu} dx =}

B

sec⁡x+tan⁡x−x+c\sec x + \tan x - x + c

C

sec⁡x−tan⁡x+x+c\sec x - \tan x + x + c

D

sec⁡x+tan⁡x+x+c\sec x + \tan x + x + c

Answer

∫tan⁡xsec⁡x+tan⁡x 6mudx=\int_{}^{}{\frac{\tan x}{\sec x + \tan x}\mspace{6mu} dx =}

Explanation

Solution

∫tan⁡(log⁡x)x 6mudx=\int_{}^{}{\frac{\tan(\log x)}{x}\mspace{6mu} dx =}

logcos(log⁡x)+c{logcos}(\log x) + c

logsin(log⁡x)+c{logsin}(\log x) + c