Home
Class 12
MATHS
Method of integration by parts : int x...

Method of integration by parts :
`int x^(2)sin2x dx=....`

A

`(1)/(2)x^(2)cos2x+(1)/(2)x sin2x+(1)/(4)cos2x+c`

B

`-(1)/(2)x^(2)cos2x+(1)/(2)x sin2x+(1)/(4)cos2x+c`

C

`(1)/(2)x^(2)cos2x-(1)/(2)x sin2x+(1)/(4)cos2x+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-B)|4 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)|15 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

Method of integration by parts : int tan^(-1)x dx=....

Method of integration by parts : int cos^(2)xdx=....

Method of integration by parts : inte^(x)sin x cos x dx=...+c

Method of integration by parts : int x sin x sec^(3)xdx=....

Method of integration by parts : If int log(x^(2)+x)dx=x log(x^(2)+x)+A then A=.....

Method of integration by parts : int cos(logx)dx=....+c

Method of integration by parts : int log(x+1)dx=....

Method of integration by parts : int(x-sinx )/(1-cosx)dx=....

Method of integration by parts : If int(e^(x)(1+sinx)dx)/(1+cosx)=e^(x)f(x)+c, then f(x)=

KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Method of integration by parts : int log(x+1)dx=....

    Text Solution

    |

  2. Method of integration by parts : If int log(x^(2)+x)dx=x log(x^(2)+x...

    Text Solution

    |

  3. Method of integration by parts : int x^(2)sin2x dx=....

    Text Solution

    |

  4. Method of integration by parts : intx^(n)logxdx=....

    Text Solution

    |

  5. Method of integration by parts : int[(1)/(logx)-(1)/((logx)^(2))]dx=...

    Text Solution

    |

  6. int (logx)/((1+logx)^(2))dx=....

    Text Solution

    |

  7. Method of integration by parts : inte^(2x) (1+sin 2x)/(1+cos 2x)dx=....

    Text Solution

    |

  8. Method of integration by parts : int[f(x)g''(x)-f''(x)g(x)]dx=....

    Text Solution

    |

  9. Method of integration by parts : int (logx)/((x+1)^(2))dx=.....

    Text Solution

    |

  10. If (d)/(dx)f(x)=cos x +sin x and f(0)=2, then f(x)=.....

    Text Solution

    |

  11. Method of integration by parts : int cos^(-1)((1)/(x))dx.....

    Text Solution

    |

  12. Method of integration by parts : inte^(x)[tanx-log(cosx)]dx=.....

    Text Solution

    |

  13. Method of integration by parts : inte^(2x) (1+sin 2x)/(1+cos 2x)dx=....

    Text Solution

    |

  14. Method of integration by parts : int e^(x)((x^(2)+1))/((x+1)^(2))dx=...

    Text Solution

    |

  15. Method of integration by parts : int(x-sinx )/(1-cosx)dx=....

    Text Solution

    |

  16. Method of integration by parts : If int(e^(x)(1+sinx)dx)/(1+cosx)=e^...

    Text Solution

    |

  17. Method of integration by parts : int sqrt(xe)^(sqrt(x))dx=....

    Text Solution

    |

  18. Method of integration by parts : int (x tan^(-1)x)/((1+x^(2))^((3)/(...

    Text Solution

    |

  19. Method of integration by parts : I(1)=int sin^(-1)x dx and I(2)= int...

    Text Solution

    |

  20. Method of integration by parts : The anti derivative of f(x) and e^(...

    Text Solution

    |