JEE Mains · Maths · STD 12 - 7.2 definite integral
The value of the integral \(\int_{0}^{\frac{\pi}{2}} 60 \frac{\sin (6 x)}{\sin x} d x\) is equal to.
- A \(103\)
- B \(102\)
- C \(104\)
- D \(100\)
Answer & Solution
Correct Answer
(C) \(104\)
Step-by-step Solution
Detailed explanation
\(I=60 \int_{0}^{\pi / 2}\left(\frac{\sin 6 x-\sin 4 x}{\sin x}+\frac{\sin 4 x-\sin 2 x}{\sin x}+\frac{\sin 2 x}{\sin x}\right) d x\) \(I=60 \int_{0}^{\pi / 2}(2 \cos 5 x+2 \cos 3 x+2 \cos x) d x\)…
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