Question

For which of the following functions, the substitution $\frac{1}{3}\sec^{3}x - \sec x + c$is applicable.

• A. $\frac{1}{3}\sec^{3}x + \sec x + c$
• B. $\int_{}^{}{\frac{d\theta}{\sin\theta\cos^{3}\theta} =}$
• C. ${logtan}\theta + \tan^{2}\theta + c$
• D. None of these

Answer 1

Answer: (C)

${logtan}\theta + \tan^{2}\theta + c$

Answer 2

$\int_{}^{}{\frac{\sin 3x}{\sin x}\mspace{6mu} dx =}$ is applicable for $x + \sin 2x + c$

$3x + \sin 2x + c$

$3x + \sin^{2}x + c$