Home
Class 12
MATHS
If int0^(pi/2)logsinthetad(theta)=k , t...

If `int_0^(pi/2)logsinthetad(theta)=k ,` then find the value of `int_0^(pi/2)(theta/(sintheta))^2d(theta)` in terms of `k`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

Find the value of int_0^(pi/2)sin2xdx

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

The value of int_(0)^(pi)sinthetad theta is-

The value of int_(0)^((pi)/(4))tanthetad theta is-

The value of int_(0)^((pi)/(4))tan^(2)thetad theta is-

The value of int_(0)^((pi)/(4))secthetad theta is-

int_(0)^((pi)/(2))cos^(4)thetad theta

int_(0)^((pi)/(4))thetasec^(2)thetad theta

Evaluate: int_(0)^((pi)/(4))log(1+tantheta)d theta

The value of int_(0)^((pi)/(4))sectheta(sectheta-tantheta)d theta is-

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

    Text Solution

    |

  2. If int(-1)^4 f(x) dx =4 and int2^4[3-f(x)]dx=7 then the value of int(...

    Text Solution

    |

  3. If int0^(pi/2)logsinthetad(theta)=k , then find the value of int0^(pi...

    Text Solution

    |

  4. Evaluate: int0^(pi/2)sinxcosxdx

    Text Solution

    |

  5. Let f(x) is continuous and positive for x in [a , b],g(x) is continuou...

    Text Solution

    |

  6. Evaluate: int(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest i...

    Text Solution

    |

  7. STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...

    Text Solution

    |

  8. Evaluate: int0^(2pi)[sinx]dx ,where[dot] denotes the greatest inte...

    Text Solution

    |

  9. STATEMENT 1 : The value of int0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STA...

    Text Solution

    |

  10. Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...

    Text Solution

    |

  11. STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...

    Text Solution

    |

  12. Evaluate: int0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest ...

    Text Solution

    |

  13. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

    Text Solution

    |

  14. Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...

    Text Solution

    |

  15. Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...

    Text Solution

    |

  16. Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...

    Text Solution

    |

  17. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  18. if [x] denotes the greatest integer less than or equal to x then integ...

    Text Solution

    |

  19. The value of int0^(2pi)[2sinx]dx ,w h e r e[dot] represents the great...

    Text Solution

    |

  20. f(x)=int1^x(tan^(-1)(t))/t dt \ AAx in R^+, then find the value of f...

    Text Solution

    |