JEE Mains · Maths · STD 12 - 7.2 definite integral
The value of \(\frac{8}{\pi} \int \limits_0^{\frac{\pi}{2}} \frac{(\cos x)^{2023}}{(\sin x)^{2023}+(\cos x)^{2023}} d x\) is \(.............\).
- A \(6\)
- B \(5\)
- C \(2\)
- D \(0.5\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
\(I =\frac{8}{\pi} \int \limits_0^{\frac{\pi}{2}} \frac{(\cos x )^{2023}}{(\sin x )^{2023}+(\cos x )^{2023}} dx\) \(U \sin g \int \limits_0^{ a } f ( x ) dx =\int_0^{ a } f ( a - x ) dx\)…
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