Q. If $\int_{}^{}{\frac{1}{4\sin^{2}{x + 4\sin{x\cos{x + 5\cos^{2}x}}}}\ dx} = \frac{1}{4}\tan^{- 1}{(B\tan{x) + c}}$, then
A) $A = \frac{1}{4},\ B = \frac{1}{2},\ C = 1$
B) $A = \frac{1}{2},\ B = \frac{1}{4},\ C = 1$
C) $A = 1,\ B = \frac{1}{2},\ C = \frac{1}{4}$
D) $A = \frac{1}{4},\ B = 1,\ C = \frac{1}{2}$
Explanation
The correct answer is Option D: $A = \frac{1}{4},\ B = 1,\ C = \frac{1}{2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.