Home
Class 12
MATHS
intx^(2)sin3xdx =...

`intx^(2)sin3xdx` =

A

`-(x^(3)cos3x)/(3)-(x^(2)sin3x)/(3)+(2xcos3x)/(9)-(2sin3x)/(27)+C`

B

`-(x^(3)cos3x)/(3)+(x^(2)sin3x)/(3)+(2xcos3x)/(9)-(2sin3x)/(27)+C`

C

`(x^(3)cos3x)/(3)+(x^(2)sin3x)/(3)-(2xcos3x)/(9)-(2sin3x)/(27)+C`

D

`-(x^(3)cos3x)/(3)+(x^(2)sin3x)/(3)-(2xcos3x)/(9)-(2sin3x)/(27)+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2018

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos
KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2019-MATHEMATICS
  1. If A = [(1,3),(4,2)], B = [(2,-1),(1,2)], then |ABB'| =

    Text Solution

    |

  2. If the value of a third order determinant is 16, then the value of the...

    Text Solution

    |

  3. intx^(2)sin3xdx =

    Text Solution

    |

  4. The area of the region above X-axis included between the parabola y^(2...

    Text Solution

    |

  5. The area of the region bound by Y-axis, y = cos x and y = sin x, 0lexl...

    Text Solution

    |

  6. The integrating factor of the differential equation (2x+3y^(2))dy=y dx...

    Text Solution

    |

  7. The equation of the curve passing through the point (1, 1) such that t...

    Text Solution

    |

  8. Foot of the perpendicular drawn from the point (1,3, 4) to the plane 2...

    Text Solution

    |

  9. Acute angle between the line (x-5)/(2)=(y+1)/(-1)=(z+4)/(1) and the pl...

    Text Solution

    |

  10. The distance of the point (1, 2, 1) from the line (x-1)/(2) = (y-2)/(1...

    Text Solution

    |

  11. XY-plane divides the line joining the points A(2, 3, -5) and B(-1, - 2...

    Text Solution

    |

  12. The shaded region in the figure is the solution set of the inequations

    Text Solution

    |

  13. The constant term in the expansion of |(3x +1,2x-1,x+2),( 5x-1, 3x+2,x...

    Text Solution

    |

  14. If [x] represents the greatest integer function and f(x) = x - [x] - c...

    Text Solution

    |

  15. If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):} is Continuous at ...

    Text Solution

    |

  16. If f(x) = sin^(-1)[(2^(x+1))/(1+4^(x))] then f' (0) =

    Text Solution

    |

  17. If x = asec^(2) theta, y = atan^(2)theta, then (d^(2)y)/(dx^(2))

    Text Solution

    |

  18. If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then al...

    Text Solution

    |

  19. The number of 4 digit numbers without repetition that can be formed us...

    Text Solution

    |

  20. The number of terms in the expansion of (x^(2) + y^(2))^(25) – (x^(2) ...

    Text Solution

    |