Home
Class 12
MATHS
Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx...

Let `I=int_(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN)` and `J=int_(0)^((pi)/(4))(dx)/(sinx+cosx)` which of the following holds good?

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

int(sin2x)/((sinx+cosx)^2)dx

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

int_(0)^((pi)/(2))(sin^(3)x)/(sinx+cosx)dx is equal to

Evaluate int_(0)^((pi)/2)(sin3x)/(sinx+cosx) dx .

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

int_(0)^(pi/6) sin2x . cosx dx

int_(0)^(pi//2)(sinx-cosx)log(sinx+cosx)dx=0

evaluate int_0^(pi/2) sinx/(sinx+cosx) dx

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If (x1, y1) be the centroid of the triangle formed by a line L and c...

    Text Solution

    |

  2. The value of sin^(-1) (cot(sin^(-1) sqrt((2 -sqrt3)/(4)) + cos^(-1)....

    Text Solution

    |

  3. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

    Text Solution

    |

  4. The greatest integral value of m for which the point of intersection...

    Text Solution

    |

  5. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  6. if lim(h->0) [f(a-h)/f(a)]=c where f(x) is a continuous function s...

    Text Solution

    |

  7. If the graph of non-constant function is symmetric about the point (3,...

    Text Solution

    |

  8. The expansion of (sqrt(x)+(1)/(2 root(4)(x)))^(n) is arranged in decr...

    Text Solution

    |

  9. if f(x)=x^x,x in (1,infty) and g(x) be inverse function of f(x) then g...

    Text Solution

    |

  10. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

    Text Solution

    |

  11. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

    Text Solution

    |

  12. If the mean and variance of a binomial variate X are 7/3a n d(14)/9 re...

    Text Solution

    |

  13. If the value of x satisfying the equation sin^(-1)sqrt(1-x^2)=tan^...

    Text Solution

    |

  14. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  15. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

    Text Solution

    |

  16. Two cards are drawn one after another from a pack of 52 ordinary cards...

    Text Solution

    |

  17. If G is the centroid and O is the circumcentre of the triangle with ve...

    Text Solution

    |

  18. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

    Text Solution

    |

  19. The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+s...

    Text Solution

    |

  20. Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denot...

    Text Solution

    |