Home
Class 12
MATHS
intsqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx)...

`intsqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx))dx` is equal to

A

`(pi)/(3)(x-3)^(3//2)+C`

B

0

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
d
We abserve that the integrand is `f(x)=sqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx))` is not defined for any ` x inR` I . E its domain is `phi`. So , the given integral does not exist . .
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|3 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Exercise|62 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

Similar Questions

Explore conceptually related problems

The value of int(sin^-1sqrt(x)-cos^-1sqrt(x))/(sin^-1sqrt(x)+cos^-1sqrt(x))dx is equal to

int(1)/(sin(x-a)cos(x-b))dx is equal to

intsqrt((x-1)/(x+1))dx is equal to

(d)/(dx)(sin^(-1)x+cos^(-1)x) is equal to

intsqrt(x)dx is equal to

intsqrt(1+x)dx

int(1)/(sin^(2)x.cos^(2)x)dx is equal to

int (sin(1/x)cos^3(1/x))/x^2dx is equal to

int 1/(sin^2x cos^2x )dx is equal to:

OBJECTIVE RD SHARMA-INDEFINITE INTEGRALS-Solved Example
  1. int(x^(7m)+x^(2m)+x^m)(2x^(6m)+7x^m+14)^(1/m)dx

    Text Solution

    |

  2. int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))))dx is equal to

    Text Solution

    |

  3. intsqrt(x-3)(sin^(-1)(Inx)+cos^(-1)(Inx))dx is equal to

    Text Solution

    |

  4. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

    Text Solution

    |

  5. int e^(x^4) (x + x^3 +2x^5) e^(x^2) dx is equal to

    Text Solution

    |

  6. int[sin(101 x)*sin^(99)x]dx

    Text Solution

    |

  7. Suppose int(1-7cos^2x)/(sin^7xcos^2x)dx=(g(x))/(sin^7x)+c where C is a...

    Text Solution

    |

  8. int(x^(2)+x)(x^(-8)+2x^(-9))^(1//10)dx is equal to

    Text Solution

    |

  9. If int 2/(2-x)^2 ((2-x)/(2+x))^(1//3)\ dx = lambda ((2+x)/(2-x))^mu + ...

    Text Solution

    |

  10. Let f(x) be a quadratic function such that f(0)=1 and int(f(x))/(x^2(x...

    Text Solution

    |

  11. int(x)/(sqrt(1+x^(2)+sqrt(1+x^(2))^(3)))dx is equal to

    Text Solution

    |

  12. inte^(x)((x-1)(x-logx))/(x^(2))dx is equal to

    Text Solution

    |

  13. If I=intx^(27)(6x^(2)+5x+4)(x^(2)+x+1)^(6)dx=f(x)+C, then f(x) is eq...

    Text Solution

    |

  14. Let f (x) be a quadratic function such that f (0) =1 and f(-1)=4, if...

    Text Solution

    |

  15. Evaluate: int(e^tan^((-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)((...

    Text Solution

    |

  16. intx^(2)((xsec^(2)x+tanx))/((xtanx+1)^(2))dx=

    Text Solution

    |

  17. int (mx^(m+2n-1)-nx^(n-1))/(x^(2m+2n)+2x^(m+n)+1)dx is equal to

    Text Solution

    |

  18. int(1)/(tanx+cotx+secx+"cosec "x)dx is equal to

    Text Solution

    |

  19. int(x^(2)(1-"In "x))/(("In "x)^(4)-x^(4))dx is equal to

    Text Solution

    |

  20. The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...

    Text Solution

    |