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Definite Integration question

2019 · 9 Apr · Shift 1 · Q27
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  2. /JEE Main
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  4. /Definite Integration
  5. /2019 · 9 Apr · Shift 1 · Q27

Definite Integration question

2019 · 9 Apr · Shift 1 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
The value of ∫0π/2sin⁡3xsin⁡x+cos⁡xdx\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx}0∫π/2​sinx+cosxsin3x​dx is
  1. A
    π−28{{\pi - 2} \over 8}8π−2​
  2. B
    π−24{{\pi - 2} \over 4}4π−2​
  3. C
    π−12{{\pi - 1} \over 2}2π−1​
  4. D
    π−14{{\pi - 1} \over 4}4π−1​
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