TS EAMCET · Maths · Definite Integration
\(\int_{\pi / 4}^{\pi / 2} \frac{3 d x}{1+e^{\sqrt{8} \sin \left(x-\frac{3 \pi}{8}\right)}}=\)
- A \(\frac{3 \sqrt{2}}{4} \pi\)
- B \(\frac{3}{4} \pi\)
- C \(\frac{\pi}{8}\)
- D \(\frac{3}{8} \pi\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{8} \pi\)
Step-by-step Solution
Detailed explanation
Let \(I=\int_{\pi / 4}^{\pi / 2} \frac{3 d x}{1+e^{\sqrt{8} \sin \left(x-\frac{3 \pi}{8}\right)}}\) ...(i)…
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