Home
Class 12
MATHS
intx.tan^(-1)xdx=......+c...

`intx.tan^(-1)xdx=......+c`

A

`(x^(2)+1)/(2)tan^(-1)x+(x)/(2)`

B

`(x^(2)+1)/(2)tan^(-1)x-(x)/(2)`

C

`(x+1)tan^(-1)x+x`

D

`(x+1)/(2)tan^(-1)x+(x)/(2)`

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

inttan^(-1)xdx= ......+c

intsin^(-1)xdx=......+c

Fundamental theorem of definite integral : int_(0)^(pi/4)tan^(100)xdx+int_(0)^(pi/4)tan^(102)xdx=........

inte^(4x)sin3xdx=......+c

Some standard forms of integration : intx^(2)sqrt(x^(6)-1)dx=.......+c

intx^(3).e^(x^(2))dx=..........+c

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

int(1+tan^(2)x)/(1-tan^(2)x)dx=....

intx^(51)(tan^(-1)x+cot^(-1)x)dx=...

inte^(3x)cos4xdx=.........+c

KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. inte^(4x)sin3xdx=......+c

    Text Solution

    |

  2. inte^(x/sqrt2)cos((x)/(sqrt2))dx=......+c

    Text Solution

    |

  3. intx.tan^(-1)xdx=......+c

    Text Solution

    |

  4. inte^(2x)(log2x+(1)/(2x))dx=..........+c

    Text Solution

    |

  5. intx^(3).e^(x^(2))dx=..........+c

    Text Solution

    |

  6. Some standard forms of integration : intx^(2)sqrt(x^(6)-1)dx=.........

    Text Solution

    |

  7. Some standard forms of integration : intsqrt(x^(2)-4x+2)dx=............

    Text Solution

    |

  8. Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

    Text Solution

    |

  9. Some standard forms of integration : intsqrt(3-x^(2))dx=...............

    Text Solution

    |

  10. Some standard forms of integration : intsinxsqrt(4-cos^(2)x)dx=........

    Text Solution

    |

  11. Some standard forms of integration : intsqrt(x^(2)+7)dx=..........+C

    Text Solution

    |

  12. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(n)(...

    Text Solution

    |

  13. Definite integration as the limit of a sum : lim(ntooo)(1^(p)+2^(p)+...

    Text Solution

    |

  14. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(4n)...

    Text Solution

    |

  15. Definite integration as the limit of a sum : lim(ntooo)sum(k=0)^(n)(...

    Text Solution

    |

  16. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n^(2))s...

    Text Solution

    |

  17. Definite integration as the limit of a sum : lim(ntooo)sum(K=1)^(n)(...

    Text Solution

    |

  18. Definite integration as the limit of a sum : lim(ntooo)[(n)/(1+n^(2)...

    Text Solution

    |

  19. Definite integration as the limit of a sum : lim(ntooo)[(1)/(n)+(1)/...

    Text Solution

    |

  20. Definite integration as the limit of a sum : lim(ntooo)(1)/(n)+(1)/(...

    Text Solution

    |