Question

${logcot}\left( \frac{x}{2} + \frac{\pi}{6} \right) + c$

• A. $\frac{1}{2}{logcot}\left( \frac{x}{2} + \frac{\pi}{6} \right) + c$
• B. $\int_{}^{}{\frac{x^{2} + x - 6}{(x - 2)(x - 1)}dx =}$
• C. $x + 2\log(x - 1) + c$
• D. $2x + 2\log(x - 1) + c$

Answer 1

Answer: (A)

$\frac{1}{2}{logcot}\left( \frac{x}{2} + \frac{\pi}{6} \right) + c$

Answer 2

$\sin x - \frac{2}{3}\sin^{3}x + \frac{1}{5}\sin^{5}x + c$

$\sin x + \frac{2}{3}\sin^{3}x + \frac{1}{5}\sin^{5}x + c$.