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JEE Main PAPER - 1

JEE Main · 2018

180 questions · One at a time

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142
MCQ4 marks

The integral ∫sin⁡2xcos⁡2x(sin⁡5x+cos⁡3xsin⁡2x+sin⁡3xcos⁡2x+cos⁡5x)2dx\int \frac{\sin^{2} x \cos^{2} x}{(\sin^{5} x + \cos^{3} x \sin^{2} x + \sin^{3} x \cos^{2} x + \cos^{5} x)^{2}} dx   is equal to:

  • A.11+cot⁡3x+C\frac{1}{1 + \cot^3 x} + C
  • B.−11+cot⁡3x+C\frac{-1}{1 + \cot^3 x} + C
  • C.13(1+tan⁡3x)+C\frac{1}{3(1 + \tan^3 x)} + C
  • D.−13(1+tan⁡3x)+C\frac{-1}{3(1 + \tan^3 x)} + CCorrect
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