Q. The area bounded by the curve $y = x^{6}(\pi - x)^{8}$ is
A) $\frac{\pi^{15} \times 3! \times 4!}{15!}$ sq unit
B) $\frac{\pi^{6} \times 6! \times 8!}{15!}$ sq unit
C) $\frac{\pi^{15} \times 6! \times 8!}{15!}$ sq unit
D) $\frac{\pi^{8} \times 6! \times 8!}{15!}\$ sq unit
Explanation
The correct answer is Option C: $\frac{\pi^{15} \times 6! \times 8!}{15!}$ sq unit.
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.