Home
Class 12
MATHS
int(pi //4)^(3pi//4) (dx)/( 1+ cosx) is...

`int_(pi //4)^(3pi//4) (dx)/( 1+ cosx) ` is equal to

A

2

B

`-2`

C

`(1)/(2)`

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise Level - 1|190 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

int_(-pi//4)^(pi//4) ( dx)/( 1+cos 2x) is equal to

I=int_(pi//5)^(3pi//10) (sinx)/(sinx+cosx)dx is equal to

Prove that : int_(pi//4)^(3pi//4) (1)/(1+cos x) dx = 2

int_(-pi/2)^(pi/2)cosx dx

int_(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

The value of overset(3pi//4)underset(pi//4)int (x)/(1+sin x) dx is equal to

int_(-pi/4)^(pi/4)(secx)/(1+2^(x))dx .

int_(-pi//2)^(pi//2) cos x dx is equal to A) 0 B) 1 C) 2 D) 4

int_(-pi//4)^(pi//4) "cosec"^(2) x dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Main (Archive)
  1. 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

    |

  2. The value of the integral int (e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

    Text Solution

    |

  3. int(pi //4)^(3pi//4) (dx)/( 1+ cosx) is equal to

    Text Solution

    |

  4. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

    Text Solution

    |

  5. Evaluate the following integral: int0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ ...

    Text Solution

    |

  6. Let T >0 be a fixed real number. Suppose f is continuous function such...

    Text Solution

    |

  7. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

    Text Solution

    |

  8. Ifint(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find th...

    Text Solution

    |

  9. If f(x) is differentiable and int0^(t^2) x f(x) dx=2/5t^5, then f(4/(2...

    Text Solution

    |

  10. If f(x)=int(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

    Text Solution

    |

  11. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |

  12. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |

  13. Let f: (0, infty) rarr R and F (x) = int(0) ^(x) f(t) dt . If F(x^(2)...

    Text Solution

    |

  14. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  15. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. int(-1)^(1)(x^2+1)dx is equal to

    Text Solution

    |

  18. The area (in sq. units) of the region described by {x,y):y^(2)le2x and...

    Text Solution

    |

  19. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  20. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

    Text Solution

    |