Question

$\sec^{2}x + \tan x\sec x + c$

• A. $\int_{}^{}{\frac{x - 2}{x^{2} - 4x + 3}dx =}$
• B. $\log\sqrt{x^{2} - 4x + 3} + c$
• C. $x\log(x - 3) - 2\log(x - 2) + c$
• D. $\log\lbrack(x - 3)(x - 1)\rbrack$

Answer 1

Answer: (C)

$x\log(x - 3) - 2\log(x - 2) + c$

Answer 2

$\log(x^{2} + \sin 2x + 2x) + c$

Put $- \log(x^{2} + \sin 2x + 2x) + c$, then it reduce to

$\frac{1}{2}\log(x^{2} + \sin 2x + 2x) + c$

$- e^{x} + c$