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Evaluate int (1)/(sinx(2cos^(2) x -1)) d...

Evaluate `int (1)/(sinx(2cos^(2) x -1)) dx`.

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The correct Answer is:
`-(1)/(2)log abs((1 + cosx)/(1 - cosx)) - (1)/(sqrt(2)) abs((sqrt(2)cosx-1)/(sqrt(2)cosx+1)) + C`
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ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section C
  1. Find the area of the region included between the parabolas y^(2) = 4ax...

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  2. Solve (dy)/(dx) = ysin 2x: y(0) = 1.

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  3. Evaluate int (1)/(sinx(2cos^(2) x -1)) dx.

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  4. Prove analytically : The perpendicular bisector of the sides of a tria...

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  5. Find the foot of the perpendicular drawn from the point 2hati - hatj +...

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  6. Solve the following LPP graphically. Maximise Z = 5x + 3y Su...

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  7. Let f : N to R be a function defined as f(x)=4x^(2)+12x +15. Show tha...

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  8. If A = [(1, -1, 1),(2, 1, -3), (1, 1, 1)], find A^(-1) and hence solve...

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  9. A dice is thrown thrice. Find the probability of getting an odd number...

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  10. Find the inverse of the following matrix using elementary transformati...

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  11. If e^(x) + e^(y) = e^(x + y), then prove that (dy)/(dx) = (e^(x)(e^...

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  12. Find a point on the curve f(x)=(x-3)^2, where the tangent is parallel ...

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  13. Find the area of the region included between the parabolas y^(2) = 4ax...

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  14. Solve (dy)/(dx) = ysin 2x: y(0) = 1.

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    |

  15. Evaluate int (1)/(sinx(2cos^(2) x -1)) dx.

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  16. Prove analytically : The perpendicular bisector of the sides of a tria...

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    |

  17. Find the foot of the perpendicular drawn from the point 2hati - hatj +...

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    |

  18. Solve the following LPP graphically. Maximise Z = 5x + 3y Su...

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    |

  19. Let f : N to R be a function defined as f(x)=4x^(2)+12x +15. Show tha...

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    |

  20. If A = [(1, -1, 1),(2, 1, -3), (1, 1, 1)], find A^(-1) and hence solve...

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    |