Question

If$\int \frac{\sin^{\frac{2}{3}} x + \cos^{\frac{2}{3}} x}{\sqrt{\sin^{\frac{1}{3}} x \cos^{\frac{1}{3}} x \sin(x - \theta)}} \, dx = A \sqrt{\cos \theta \tan x - \sin \theta} + B \sqrt{\cos \theta \cot x + \sin(x - \theta)} + C,$where $C$ is the integration constant, then $AB$ is equal to ______.

• A. $4 \csc(2\theta)$
• B. $4 \sec \theta$
• C. $2 \sec \theta$
• D. $8 \csc(2\theta)$

Answer 1

Answer: (D)

$8 \csc(2\theta)$

Answer 2

The Correct Answer is