Home
Class 12
MATHS
int(x^(2))/((a+bx^(2))^(5//2))dx is equa...

`int(x^(2))/((a+bx^(2))^(5//2))dx` is equal to

A

`-(1)/(3a)((x^(2))/(a+bx^(2)))^(3//2)+C`

B

`(1)/(3a)((x^(2))/(a+bx^(2)))^(3//2)+C`

C

`(1)/(2a)((x^(2))/(a+bx^(2)))^(2//3)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INDEFINITE INTEGRALS

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

int(x^(2))/((a+bx)^(2))dx

int(x^(2)dx)/((a+bx)^(2))=

int x^(2)dx is equal to:

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

int(x^2e^(x))/((x+2)^(2))dx is equal to

1. int x^((5)/(2))dx is equal to ;

int(dx)/(x(a+bx^(n))^(2))

int_(-2)^(2)|x|dx is equal to

inte^(x)((2)/(x)-(2)/(x^(2)))dx is equal to

OBJECTIVE RD SHARMA-INDEFINITE INTEGRALS-Exercise
  1. If x^2!=n pi-1, n in N. Then, the value of int x sqrt((2sin(x^2+1)-sin...

    Text Solution

    |

  2. Given f(x) =|{:(0,x^(2)-sinx,cosx-2),(sinx-x^(2),0,1-2x),(2-cosx,2x-1,...

    Text Solution

    |

  3. int(1)/(x^(1//2)(1+x^(2))^(5//4))dx is equal to

    Text Solution

    |

  4. int(x^(2))/((a+bx^(2))^(5//2))dx is equal to

    Text Solution

    |

  5. int(sin^(3)x)/((1+cos^(2)x)sqrt(1+cos^(2)x+cos^(2)x+cos^(4))x)dx is eq...

    Text Solution

    |

  6. int(1)/(sqrt(sin^(3)xsin(x+alpha)))dx is equal to

    Text Solution

    |

  7. The antiderivative of (3^(x))/(sqrt(1-9^(x))) with respect to x is

    Text Solution

    |

  8. Integration of (1)/(sqrt(x^(2)=9)) with respect to (x^(2)+1) is equa...

    Text Solution

    |

  9. If int(sintheta-costheta)/((sintheta+costheta)sqrt(sinthetacostheta+s...

    Text Solution

    |

  10. The primitive of the function f (x) =(2x+1)|cosx|, when (pi)/(2)ltxl...

    Text Solution

    |

  11. The primitive of the function f (x) = (2x+1) |sinx|, where piltxlt2p...

    Text Solution

    |

  12. Let intsqrt((5-x)/(2+x))dx equal

    Text Solution

    |

  13. The value of the integral int(xsin x^(2)e^(secx^(2)))/(cos^(2)x^(2))dx...

    Text Solution

    |

  14. int(x^(2)-1)/(xsqrt((x^(2)+alphax+1))(x^(2)+betax+1))dx is equal to

    Text Solution

    |

  15. Evaluate: int(e^(2x)-2e^x)/(e^(2x)+1)dx

    Text Solution

    |

  16. int(1)/(cosx-sinx)dx is equal to

    Text Solution

    |

  17. int(a^(x//2))/(sqrt(a^(-2)-a^(x)))dx is equal to

    Text Solution

    |

  18. int(f'(x))/(f(x)log{f(x)})dx=

    Text Solution

    |

  19. int(e^x)/((1+e^x)(2+e^x))dx

    Text Solution

    |

  20. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dxi se q u a lto 1/2sqrt(1+x)...

    Text Solution

    |