JEE Mains · Maths · STD 12 - 7.2 definite integral
\( 6\int_{0}^{\pi}|(\sin 3x+\sin 2x+\sin x)| dx \) is equal to ....
- A 15
- B 17
- C 19
- D 21
Answer & Solution
Correct Answer
(B) 17
Step-by-step Solution
Detailed explanation
\( 6\int_{0}^{\pi}|2\sin 2x \cos x + \sin 2x| dx\) \(6 \int_0^\pi\left|4 \sin x \cos ^2 x+2 \sin x \cos x\right| d x\) \(I=12\int_{0}^{\pi}\sin x|2\cos^{2}x + \cos x| \) Pet \( \cos x = t, -\sin x dx = dt \) \( I = 12\int_{-1}^{1}|2t^{2}+t| dt\)…
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