Home
Class 12
MATHS
Evaluate: int(-pi)^(3pi)log(s e ctheta-t...

Evaluate: `int_(-pi)^(3pi)log(s e ctheta-t a ntheta)dtheta`

A

`1`

B

`0`

C

`2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions|33 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|16 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Concept-based) Single Correct Answer Type Questions|10 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(-pi)^(3 pi)log(sec theta-tan theta)d theta

int_(0)^( pi)log xdx

Evaluate int_(0)^( pi)x log sin xdx

Evaluate: int_(0)^( pi)x log sin xdx

Evaluate each of the following integral: int_(-pi//2)^(pi//2)log((a-s intheta)/(a+s intheta))dtheta

Evaluate : int_(-pi/3)^(pi/3)sin^3 x dx

Evaluate: int_(-pi/4)^( pi/4)log(sin x+cos x)dx

Evaluate: int_0^pi log(1+cosx)dx

Evaluate: int_(-(pi)/(2))^((pi)/(2))log((a-sin theta)/(a+sin theta))d theta,a>0

Evaluate int_(0)^((pi)/(2))log sin xdx

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions
  1. If f(x) = (1+ tanx) (1+ tan (pi//4 - x)) and g(x) is a function with d...

    Text Solution

    |

  2. Find lim(n->oo) Sn ; if Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-...

    Text Solution

    |

  3. Evaluate: int(-pi)^(3pi)log(s e ctheta-t a ntheta)dtheta

    Text Solution

    |

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

    Text Solution

    |

  5. Evaluate int-1 3/2|xsin(pix)|dx

    Text Solution

    |

  6. If f(0)=2, f'(x) =f(x), phi (x) = x+f(x) then int(0)^(1) f(x) phi (x) ...

    Text Solution

    |

  7. Evaluate: ("lim")(xvec2)(int0"x"cost^2dt)/x

    Text Solution

    |

  8. If f(x) =int(1//x^(2) ) ^(x^2) cos sqrt(t) dt, then f'(1) is equal to

    Text Solution

    |

  9. The least value of the function phi(x)=overset(x)underset(5pi//4)int...

    Text Solution

    |

  10. Evaluate int0^a(log(1+a x)/(1+x^2)dx)

    Text Solution

    |

  11. If I(m,n)= overset(1)underset(0)int x^(m) (ln x)^(n)dx then I(m,n) i...

    Text Solution

    |

  12. If I(n) = int(0)^(1) ( cos^(-1) x)^(n) dx then I(6)- 360 I(2) is given...

    Text Solution

    |

  13. If I(n)=underset(0)overset(pi//2)int x^(n) sin x dx, then I(4)+12I(2) ...

    Text Solution

    |

  14. If a function f: [ 0, 27] to R is differentiable then for some 0 lt al...

    Text Solution

    |

  15. The difference between the greatest and least values of f(x)= int0^x (...

    Text Solution

    |

  16. The value of the integral overset(pi//4)underset(0)int (sinx+cosx)/(3+...

    Text Solution

    |

  17. Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt

    Text Solution

    |

  18. The value of the integral int(0)^(pi//2)(dx)/(1+(1)/(6)sin^(2)x) is

    Text Solution

    |

  19. int(e^(- 1))^(e^2)|(lnx)/x|dx

    Text Solution

    |

  20. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

    Text Solution

    |