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Question

Question: \(\log\left( \frac{1}{2\log x - x} \right) + c\)...

log(12logxx)+c\log\left( \frac{1}{2\log x - x} \right) + c

A

log(x2logx)+c\log(x - 2\log x) + c

B

log(1x2logx)+c\log\left( \frac{1}{x - 2\log x} \right) + c

C

x1+x26mudx=\int_{}^{}{x\sqrt{1 + x^{2}}}\mspace{6mu} dx =

D

1+2x21+x2+c\frac{1 + 2x^{2}}{\sqrt{1 + x^{2}}} + c

Answer

x1+x26mudx=\int_{}^{}{x\sqrt{1 + x^{2}}}\mspace{6mu} dx =

Explanation

Solution

Put 5sinx+c- 5\sin x + c, then

tanxsecx+tanx6mudx=\int_{}^{}{\frac{\tan x}{\sec x + \tan x}\mspace{6mu} dx =}.