Question

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

• A. $\int_{}^{}{\sec x\tan^{3}x\mspace{6mu} dx =}$
• B. $\frac{1}{3}\sec^{3}x - \sec x + c$
• C. $\sec^{3}x - \sec x + c$
• D. $\frac{1}{3}\sec^{3}x + \sec x + c$

Answer 1

Answer: (D)

$\frac{1}{3}\sec^{3}x + \sec x + c$

Answer 2

$\cot^{- 1}(\cot^{2}x) + c$

$\tan^{- 1}(\cot^{2}x) + c$