Home
Class 12
MATHS
int(0)^(9) x(a^(2)-x^(2))^(7/2)dx...

`int_(0)^(9) x(a^(2)-x^(2))^(7/2)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(9))/(9)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1|31 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-II|55 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(a)(a^(2)-x^(2))/((a^(2)+x^(2))^(2))dx=

int_(0)^(2)x^(2)[x]dx

Evaluate: ( i ) int(x^(2))/((a^(2)-x^(2))^(3/2))dx (ii) int(x^(7))/((a^(2)-x^(2))^(5))dx

int_(0)^(5)x^(2)(sqrt(5-x))^(7)dx

int_(0)^(2)(x^(2)+x)dx

Evaluate: int_(0)^(a)(1)/((x^(2)+a^(2)))dx( ii) int_(0)^(oo)(x^(2))/((a^(2)+x^(2))^(5/2))dx

The value of int_(0)^(1) x^(2) (1- x)^(9) dx is

int_(-9) ^(9) (x^(3))/(4-x^(2)) dx =

Prove that int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)x dx

The value of int_(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. int(0)^(-pi//2)sin^(5)xcos^(4)xdx

    Text Solution

    |

  2. int(0)^(1) x^(5)sin^(-1)xdx

    Text Solution

    |

  3. int(0)^(9) x(a^(2)-x^(2))^(7/2)dx

    Text Solution

    |

  4. int(0)^(2) sqrt(2-x)dx.

    Text Solution

    |

  5. Prove the following : int(0)^(1)e^(-x)cos^(2)xdx lt int(0)^(1)e^(-x^(2...

    Text Solution

    |

  6. Prove the following : 0 lt int(0)^(pi//2)sin^(n+1)xdx lt int(0)^(pi//2...

    Text Solution

    |

  7. Prove the following : e^(-(1)/(e)) lt int(0)^(1)x^(x)dx lt 1

    Text Solution

    |

  8. Prove the following: -1/2lt=int0^1(x^3cosx)/(2+x^2)dx<1/2

    Text Solution

    |

  9. Prove the following : 1 lt int(0)^(pi//2)sqrt(sinx)dx lt sqrt(pi/2)

    Text Solution

    |

  10. Prove the following : 4/pi lt int(pi/4)^(pi/3) (tanx)/(x) lt (3sqrt(3)...

    Text Solution

    |

  11. lim(nrarroo) {1/n+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+"......"+1/(...

    Text Solution

    |

  12. lim(nrarroo) [1/(1+n)+(1)/(2+n)+(1)/(3+n)+"....."+(1)/(5n)]

    Text Solution

    |

  13. lim(nrarroo) [sin^(3)'(pi)/(4n)+2sin^(3)'(2pi)/(4n)+3sin^(3)'(3pi)/(4n...

    Text Solution

    |

  14. lim(nrarroo) sum(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))

    Text Solution

    |

  15. lim(nrarroo) (tan'(pi)/(2n)tan'(2pi)/(2n)tan'(3n)/(2n)"......."tan'(np...

    Text Solution

    |

  16. Find the area bounded by the curves y = e^(x), y = |x-1| and x = 2.

    Text Solution

    |

  17. Complete the area of the region bounded by the parabolas y^(2)+8x=16 ...

    Text Solution

    |

  18. Find the area between the x-axis and the curve y = sqrt(1+cos4x), 0 ...

    Text Solution

    |

  19. What is geometrical significance of (i) int(0)^(pi) |cosx| dx, (ii) ...

    Text Solution

    |

  20. Find the area of the region bounded by the x-axis and the curves defi...

    Text Solution

    |