Question

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

• A. $b^{2}\log(a^{2} + b^{2}\sin^{2}x) + c$
• B. $\int_{}^{}{\frac{1}{x\sqrt{1 + \log x}}\mspace{6mu} dx =}$
• C. $\frac{2}{3}(1 + \log x)^{3/2} + c$
• D. $(1 + \log x)^{3/2} + c$

Answer 1

Answer: (A)

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

Answer 2

$(1 - x)^{- 1} - 1 + c$

Put $\int_{}^{}{(\cos x - \sin x) ⥂ \mspace{6mu} dx = \sqrt{2}\sin(x + \alpha) + c}$ then it reduces to

$\alpha =$

$\frac{\pi}{3}$

$- \frac{\pi}{3}$

$\frac{\pi}{4}$, $- \frac{\pi}{4}$constant).