Question

$\frac{1}{b}\log(a + b\cos x) + c$

• A. $\int_{}^{}{\frac{1}{x^{3}}\lbrack\log x^{x}\rbrack^{2}\mspace{6mu} dx =}$
• B. $\frac{x^{3}}{3}(\log x) + x + c$
• C. $\frac{1}{3}(\log x)^{3} + c$
• D. $3\log(\log x) + c$

Answer 1

Answer: (A)

$\int_{}^{}{\frac{1}{x^{3}}\lbrack\log x^{x}\rbrack^{2}\mspace{6mu} dx =}$

Answer 2

$\int_{}^{}{\frac{a^{x}}{\sqrt{1 - a^{2x}}}dx =}$

$\frac{1}{\log a}\sin^{- 1}a^{x} + c$

$\sin^{- 1}a^{x} + c$.