Home
Class 12
MATHS
Let a be number in the interval [0,314] ...

Let a be number in the interval `[0,314]` such that `int_(pi+a)^(3pi+a)|x-a-pi|sin(x/2)dx = - 16`, the determined number of such values of a.

Text Solution

Verified by Experts

The correct Answer is:
25
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - III|30 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - IV|9 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - 1|30 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

int_(pi//4)^(pi//3)(sec x)/(sin x)dx =

int_(-pi)^(pi)sin^(2)x.cos^(2)x dx=

int_(-pi)^(pi)(sin^(75)x+x^(125))dx=0

int_(0)^(pi//2) abs(sin(x-pi/4)) dx=

The value of int_(0)^(2 pi)|cos x-sin x|dx is

int_(-pi)^(pi) x sin x dx = _______.

int_(0)^(pi) sin 3x dx

int_(pi//3)^(pi//2) dx/(sinx+ sin 2x)=

The value of int_(0)^(2pi) |cos x -sin x|dx is

int_ (pi) ^ (16 pi) | sin x | dx =

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - II
  1. Evaluate (2005int(0)^(1002)dx(sqrt(1002^(2)-x^(2))+sqrt(1003^(2)-x^(...

    Text Solution

    |

  2. Show that int0^(pi/2)sqrt((sin2theta))sinthetadtheta=pi/4

    Text Solution

    |

  3. Let I(1) = int(0)^(pi//4)1/((1+tanx)^(2))dx, I(2) = int(0)^(1)(dx)/((...

    Text Solution

    |

  4. Find the value of ln(int(0)^(1) e^(t^(2)+t)(2t^(2)+t+1)dt)

    Text Solution

    |

  5. If int(1)^(0) (x)/(x+1+e^(x))dx is equal to -lnk then find the value o...

    Text Solution

    |

  6. If f,f, h be continuous functions on [0,a] such that f(a-x) = f(x), g(...

    Text Solution

    |

  7. If f(x)=(sinx)/xAAx in (0,pi], prove that pi/2int0^(pi/2)f(x)f(pi/2-x)...

    Text Solution

    |

  8. Evaluate : 3int(0)^(pi)(a^(2)sin^(2)x+b^(2)cos^(2)x)/(a^(4)sin^(2)x+b^...

    Text Solution

    |

  9. int(0)^(2pi)|sqrt(15) sin x + cos x|dx

    Text Solution

    |

  10. Let a be number in the interval [0,314] such that int(pi+a)^(3pi+a)|x...

    Text Solution

    |

  11. sum(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

    Text Solution

    |

  12. Iff(x)=x+int0^1t(x+t)f(t)dt , t h e nfin dt h ev a l u eoft h ed efin...

    Text Solution

    |

  13. If f(x) = (ax+b)e^(x) satisfies the equation : f(x) = int(0)^(x)e^(x)"...

    Text Solution

    |

  14. If the minimum of the following function f(x) defined at 0 lt x lt ...

    Text Solution

    |

  15. If f(pi) = 2x^(3)-15x^(2)+24x and g(x) = int(0)^(x)f(t) dt + int(0)^(5...

    Text Solution

    |

  16. Let f(x) = {{:(1-x ,"If" 0 le x le 1),(0, "if" 1 lt x le 2),((2-x)^(2)...

    Text Solution

    |

  17. Find the values of m (m > 0) for which the area bounded by the line y=...

    Text Solution

    |

  18. Find the values of m (m > 0) for which the area bounded by the line y=...

    Text Solution

    |

  19. Find area bounded by y = f^(-1)(x), x = 10, x = 4 and x-axis. Given ...

    Text Solution

    |

  20. Consider a line l: 2x -sqrt(3)y = 0 and a parameterized C :x = tant, y...

    Text Solution

    |