Home
Class 12
MATHS
int0^1x/((1-x)^(54))dx= a. 9(pi/2)^9 ...

`int_0^1x/((1-x)^(54))dx=`
a. `9(pi/2)^9`
b. `10(pi/2)^9`
c. `(pi/2)^9`
d. `9\ (pi/2)^8`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

int_0^1sqrt((1-x)/(1+x))dx= (a) (pi)/2 (b) (pi)/2-1 (c) (pi)/2+1 (d) pi+1

If u_(n) = int_(0)^(pi/2) x^(n)sinxdx , then the value of u_(10) + 90 u_(8) is : (a) 9(pi/2)^(8) (b) (pi/2)^(9) (c) 10 (pi/2)^(9) (d) 9 (pi/2)^(9)

I_10=int_0^(pi/2)x^(10)sinx dx then I_10+90I_8 is (A) 10(pi/2)^6 (B) 10(pi/2)^9 (C) 10(pi/2)^8 (D) 10(pi/2)^7

The value of the integral int_0^oox/((1+x)(1+x^2))dx is (pi^)/2 (b) (pi^)/4 (c) (pi^)/6 (d) pi/3

Given that int_0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c)(c+a)) the value of int_0^oo(dx)/((x ^2+4)(x^2+9)), is a. pi/(60) b. pi/(40) c. pi/(20) d. pi/(80)

If int_0^a1/(1+4x^2)dx=\ pi/8 , then a equals a. pi/2 b. pi/4 c. 1/2 d. 1

The value of int_0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi//8

int_0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals a. pi^2//8 b. pi//4 c. 2 d. 1

Ifint_0^oo(x^2dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2)) =pi/(2(a+b)(b+c)(c+a)) then the value of int_0^oo(dx)/((x^2+4)(x^2+9)) (a) pi/(60) (b) pi/(20) (c) pi/(40) (d) pi/(80)

int_0^(pi//2)1/(1+cot^3x)dx is equal to a 0 b. 1 c. pi//2 d. pi//4

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. int(pi//6)^(pi//3)1/(sin2x)dx\ is equal to a. (log)e3 b. (log)"e"sqr...

    Text Solution

    |

  2. int(-1)^1|1-x|dx is equal to a.-2 b. 2 c. 0 d. 4

    Text Solution

    |

  3. int0^1x/((1-x)^(54))dx= a. 9(pi/2)^9 b. 10(pi/2)^9 c. (pi/2)^9 d....

    Text Solution

    |

  4. (lim)(n->oo){1/(2n+1)+1/(2n+2)++1/(2n+n)} a. I n\ (1/3) b. I n\ (2/3)...

    Text Solution

    |

  5. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

    Text Solution

    |

  6. int0^(pi//2)1/(1+cot^3x)dx is equal to a 0 b. 1 c. pi//2 d. pi//4

    Text Solution

    |

  7. int0^(pi//2)(sinx)/(sin x+cos x)dx equals to a. pi//2 b. pi//4 c. pi//...

    Text Solution

    |

  8. int0^(pi//2)xsinx\ dx is equal to a. pi//2 b. pi//4 c. pi d. 1

    Text Solution

    |

  9. int0^(pi//2)sin2xlogtanx\ dx\ is equal to a. pi//2 b. pi c. 0 d. 2pi

    Text Solution

    |

  10. The value of int0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi...

    Text Solution

    |

  11. Evaluate:int0^oolog(x+1/x)(dx)/(1+x^2)

    Text Solution

    |

  12. int0^(2a)f(x)dx is equal to a.2int0^af(x)dx b. 0 c. int0^af(x)dx+...

    Text Solution

    |

  13. If f(a+b-x)=f(x),\ t h e n\ inta^b xf(x)dx is equal to a.(a+b)/2inta^...

    Text Solution

    |

  14. The value of int0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is a.1 b. -1 c....

    Text Solution

    |

  15. Choose the correct answer The value of int0pi/2log((4-3sinx)/(4+3cosx)...

    Text Solution

    |

  16. The value of int(-pi//2)^(pi//2)(x^3+x\ cos x+tan^5x+1)dx , is a. 2 b....

    Text Solution

    |

  17. Evaluate the following integral: int0^4x\ sqrt(4-x)\ dx

    Text Solution

    |

  18. Evaluate the following integral: int1^5x/(sqrt(2x-1))dx

    Text Solution

    |

  19. Evaluate the following integral: int0^1tan^(-1)x\ dx

    Text Solution

    |

  20. Evaluate the following integral: int0^1tan^(-1)((2x)/(1-x^2))dx

    Text Solution

    |