AP EAMCET · Maths · Definite Integration
\(\int_0^{\pi / 2} \sin ^m x \cos ^4 x d x=\frac{7 \pi}{2048} \Rightarrow m=\)
- A \(8\)
- B \(6\)
- C \(10\)
- D \(12\)
Answer & Solution
Correct Answer
(A) \(8\)
Step-by-step Solution
Detailed explanation
\(\int_0^{\pi / 2} \sin ^m x \cdot \cos ^4 x d x=\frac{7 \pi}{2048}\) where, \(k=\left\{\begin{array}{l}\frac{\pi}{2}, \text { Both } m \text { and } n \text { are even } \\ 1, \text { otherwise }\end{array}\right.\) \(I=\int_0^{\pi / 2} \sin ^m x \cos ^n x d x\) If…
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