Home
Class 12
MATHS
Then integral int(pi//4)^((3pi)/4) (dx)/...

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

A

`-1`

B

`-2`

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

The Integral int_(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

The Integral int_(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to: (2) (3) (4)

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

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

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

The value of the definite integral I = int_(0)^(pi)xsqrt(1+|cosx|) dx is equal to (A) 2sqrt(2)pi (B) sqrt(2) pi (C) 2 pi (D) 4 pi

The value of the integral int_(-3pi)^(3pi)|sin^(3)x|dx is equal to

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

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

ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...

    Text Solution

    |

  2. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  3. Which of the following is true?

    Text Solution

    |

  4. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  5. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  6. If int(n)=int(-pi)^(pi)(sin nx)/((1+pi^(x))sinx) dx, n=0,1,2,………. then

    Text Solution

    |

  7. Let S(n)=sum(k=1)^(n)n/(n^(2)+kn+k^(2)) and T(n)=sum(k=0)^(n-1)n/(n^(2...

    Text Solution

    |

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

    Text Solution

    |

  9. "Let " I(n)=int tan^(n)x dx,(n gt 1). I(4)+I(6)=a tan^(5)x+bx^(5)+C, "...

    Text Solution

    |

  10. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  11. The integral int(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is e...

    Text Solution

    |

  12. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

    Text Solution

    |

  13. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

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

    Text Solution

    |

  15. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals to (a)(g(x))/(g(pi)...

    Text Solution

    |

  16. The value of int(0)^(1)(8log(1+x))/(1+x^(2))dx is

    Text Solution

    |

  17. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  18. Let p(x) be a function defined on R such that lim(xrarr infty) f (3x...

    Text Solution

    |

  19. int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...

    Text Solution

    |

  20. Let I=int(0)^(1)(sinx)/(sqrtx) dx and f= int(0)^(1)( cos x)/(sqrtx) dx...

    Text Solution

    |