TS EAMCET · Maths · Definite Integration
\(\int_2^5 \sqrt{\frac{5-x}{x-2}} d x=\)
- A \(\pi\)
- B \(\frac{\pi}{2}\)
- C \(\frac{3 \pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{3 \pi}{2}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \int_2^5 \sqrt{\frac{5-x}{x-2}} d x=\int_2^5 \sqrt{\frac{(5-x)^2}{(x-2)(5-x)}} d x \\ = & \int_2^5 \frac{5-x}{\sqrt{7 x-x^2-10}} d x .\end{aligned}\)…
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