Home
Class 12
MATHS
If M=int0^((pi)/(2))(cosx)/(x+2)dx,N=int...

If `M=int_0^((pi)/(2))(cosx)/(x+2)dx,N=int_0^((pi)/(4))(sinxcosx)/((x+1)^2)dx`, then the value of M-N is

A

`pi`

B

`(pi)/(4)`

C

`(2)/(pi-4)`

D

`(2)/(pi+4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

Suppose M = int_0^(pi/2) cosx/(x+2) dx , N = int_0^(pi/4) sinxcosx/(x+1)^2 dx . Then the value of (M - N) equals

int_(0)^((pi)/(2))(dx)/(1+cosx)

The value of the integral sqrt2 int_0^(pi/2) f(sin2x) sinx dx=A (sqrt2/9) int_0^(pi/4) f(cos2x)cosx dx then the value of A is

Show : int_(0)^((pi)/(2))sinxf(sin2x)dx=int_(0)^((pi)/(2))cosxf(sin2x)dx

If int_(0)^(pi) x f(sinx) dx=A int_(0)^((pi)/(2))f(sinx)dx , then the value of A is -

int_(0)^((pi)/(2))log(sinx)dx=int_(0)^((pi)/(2))log(cosx)dx=(pi)/(2)log.(1)/(2)

If I_(n)=int_(0)^((pi)/(4)) tan^(n)x dx , then the value of (I_(8)+I_(6)) is -

int_(0)^((pi)/(2))(cosx-sinx)/(1+sinxcosx)dx

Evaluate: int_0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

If I=int_0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1)I is_____

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. If inte^(sinx)[(xcos^3x-sinx)/(cos^2x)]dx=e^(sinx)*f(x)+c, where c is ...

    Text Solution

    |

  2. If intf(x)sinxcosxdx=(1)/(2(b^2-a^2))logf(x)+c, where c is the constan...

    Text Solution

    |

  3. If M=int0^((pi)/(2))(cosx)/(x+2)dx,N=int0^((pi)/(4))(sinxcosx)/((x+1)^...

    Text Solution

    |

  4. The value of the integral I=int((1)/(2014))^(2014)(tan^(-1)x)/(x)dx is

    Text Solution

    |

  5. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

    Text Solution

    |

  6. The value of I=int((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(...

    Text Solution

    |

  7. The value of lim(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+.......

    Text Solution

    |

  8. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  9. Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1. ...

    Text Solution

    |

  10. The law or motion of a body moving along a straight line is x=(1)/(2)...

    Text Solution

    |

  11. Number of common tangents of y=x^2" and " y=-x^2+4x-4 is

    Text Solution

    |

  12. If |{:(-1,7,0),(2,1,-3),(3,4,1):}|=A" then"|{:(13,-11,5),(-7,-1,25),(-...

    Text Solution

    |

  13. If ar=(cos2rpi+isin2rpi)^((1)/(9)), then the value of |{:(a1,a2,a3),(a...

    Text Solution

    |

  14. If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...

    Text Solution

    |

  15. If the following three linear equations have a non-trivial solution, t...

    Text Solution

    |

  16. On R, a relation p is defined by xpy if and only if x-y is zero or irr...

    Text Solution

    |

  17. int dx/(secx+cosx)

    Text Solution

    |

  18. If f:Rto R be defined by f(x)=e^x" and " g:R toR be defined by g(x)=x^...

    Text Solution

    |

  19. In order to get a head at least once with probility ge0.9, the minimum...

    Text Solution

    |

  20. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |