TS EAMCET · Maths · Definite Integration
\(\int_0^2 x^{\frac{5}{2}} \sqrt{2-x} d x=\)
- A \(\frac{5 \pi}{16}\)
- B \(\frac{5}{4}\)
- C \(\frac{5 \pi}{8}\)
- D \(\frac{5}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{5 \pi}{8}\)
Step-by-step Solution
Detailed explanation
\(\int_0^2 x^{5 / 2} \sqrt{2-x} d x\) Put \(x=2 \sin ^2 \theta, d x=4 \sin \theta \cos \theta d \theta\)…
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