Home
Class 12
MATHS
\int{pi/4}^((3pi)/4) frac{1}{1+ cos x}dx...

`\int_{pi/4}^((3pi)/4)` `frac{1}{1+ cos x}`dx=................

A

(a) 2

B

(b) -2

C

(c) 1/2

D

(d) -1/2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

Evaluate \int_{0}^((pi)/2) frac{1}{1+cos x} dx

The value of integral \int_{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx is...........

\int_{0}^((pi)/4) frac{sin x + cos x}{3+ sin 2x}dx =................ (A) log 2 (B) log 3 (C) 1/4 log 3 (D) 1/8 log 3

Evaluate: \int_{(-pi)/4}^((pi)/4) frac{1}{1-sin x} dx

\int_{0}^((pi)/2) frac{sin^2 x dx}{(1+cos x)^2} =........... A) frac{4-pi}{2} B) frac{pi-4}{2} C) 4- frac{pi}{2} D) frac{4+pi}{2}

Evaluate: \int_{0}^((pi)/2) frac{1}{5+ 4 cos x} dx

Evaluate: \int_{0}^(pi/2) frac{1}{6-cos x} dx

The value of I = \int_{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi B) ( pi )/2 C) ( pi )/4 D) ( pi )/3

Evaluate: \int_{(-pi)/4}^((pi)/4) frac{x+(pi)/4}{2- cos 2x} dx

The value of \int_{0}^(pi) frac{x}{4 cos^2 x + 9 sin^2 x} dx is...........

CHETANA PUBLICATION-Definite integration-Exercise
  1. \int{0}^oo frac{1}{(x^2+4)(x^2+9)}dx=................ (A) pi/30 (B) ...

    Text Solution

    |

  2. \int{0}^((pi)/4) frac{sin x + cos x}{3+ sin 2x}dx =................ (...

    Text Solution

    |

  3. \int{pi/4}^((3pi)/4) frac{1}{1+ cos x}dx=................

    Text Solution

    |

  4. \int{0}^(pi^2/4) sin sqrt x dx =.........

    Text Solution

    |

  5. \int{0}^((pi)/4) log(1+2tantheta + tan^2theta) dtheta =.........

    Text Solution

    |

  6. \int{a}^b sqrt ((x-a)(b-x)) dx is equal to........

    Text Solution

    |

  7. \int{0}^((pi)/2) sqrt sin2 theta sin theta dtheta is .........

    Text Solution

    |

  8. \int{-2}^2 abs(1-x) dx=...........

    Text Solution

    |

  9. The value of \int{0}^(oo) frac{x log x}{(1+x^2)^2} dx is ...........

    Text Solution

    |

  10. The value of integral \int{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx...

    Text Solution

    |

  11. \int{0}^1 tan^(-1) frac{x}{sqrt (1-x^2)} dx is.......... A) (pi)/2 +1...

    Text Solution

    |

  12. \int{0}^((pi)/4) frac{sin 2t}{sin^4 t + cos^4 t} dt is..........

    Text Solution

    |

  13. \int{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) ...

    Text Solution

    |

  14. \int{0}^1 x^2 sqrt(1-x) dx is..........

    Text Solution

    |

  15. \int{0}^pi frac{t tan t}{sec t + cos t} dt =..........

    Text Solution

    |

  16. \int{0}^((pi)/2) frac{sin x}{(sin x + cos x)^2} dx =k log(1+sqrt 2), ...

    Text Solution

    |

  17. \int{0}^(pi/2) sin(x-(pi)/4) dx =......... A) 2+sqrt 2 B) 2-sqrt 2 ...

    Text Solution

    |

  18. If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...

    Text Solution

    |

  19. If \int{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........

    Text Solution

    |

  20. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

    Text Solution

    |