Home
Class 12
MATHS
If P=int0^(3pi)f(cos^2x)dx and Q=int0^(p...

If `P=int_0^(3pi)f(cos^2x)dx and Q=int_0^(pi)f(cos^2x)dx` then

A

`P-Q=0`

B

`P-2Q=0`

C

`P-3Q=0`

D

`P-5Q=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • DETERMINANTS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |13 Videos

Similar Questions

Explore conceptually related problems

If I=int_0^(3pi) f(cos^2x)dx and J=int_0^pi f(cos^2x)dx , then (A) I=5J (B) I=J (C) I=3J (D) none of these

If P = int_(0)^(3pi) f(cos^(2)x)dx and Q=int_(0)^(pi) f(cos^(2)x)dx , then

int_0^pi (cos^2x)dx ,

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

If int_(0)^(n pi)f(cos^(2)x)dx=k int_(0)^( pi)f(c0s^(2)x)dx, then find the value k

Let I_(1)=int_(0)^(3 pi)(f(cos^(2)x)dxI_(2)=int_(0)^(2 pi)(f(cos^(2)x)dx and I_(3)=int_(0)^( pi)(f(cos^(2)x)dx, then (A)I_(1)+2P_(2)+3I_(2)=0(B)I_(1)=2I_(2)+I_(3)(C)I_(2)+I_(3)=I_(1)(D)I_(1)=2I_(3)

Which of the following are true ?(i)int_(a)^( pi-a)xf(sin x)dx=(pi)/(2)int_(a)^( pi-a)f(sin x)dx( ii) int_(-a)^(a)f(x^(2))dx=2int_(0)^(a)f(x^(2))dx( iii) int_(0)^(n pi)f(cos^(2)x)dx=n int_(0)^( pi)f(cos x)dx,n in N (iv) int_(0)^(b-c)f(x+c)dx=int_(c)^(b)f(x)dx

If I_(1)=int_(3pi)^(0) f(cos^(2)x)dx and I_(2)=int_(pi)^(0) f(cos^(2)x) then

If int_(0)^(pi)x f(sin x) dx = a int_(0)^(pi)f (sin x) dx , then a =

int_(0)^(2 pi)|cos x|dx

BITSAT GUIDE-DEFINITE INTEGRALS AND ITS APPLICATIONS-BITSAT Archives
  1. If P=int0^(3pi)f(cos^2x)dx and Q=int0^(pi)f(cos^2x)dx then

    Text Solution

    |

  2. The value of x gt 1 satisfying the equation int(1)^(x) tlnt dt=(1)/(...

    Text Solution

    |

  3. If int0^25e^(x-[x])dx=k(e-1), then the value of k is equal to

    Text Solution

    |

  4. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y), where x,yg...

    Text Solution

    |

  5. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

    Text Solution

    |

  6. Determine the area of the figure bounded by two branches of the curve ...

    Text Solution

    |

  7. int0^(pi//2)(sin^ntheta)/(sin^ntheta+cos^ntheta)dtheta is equal to

    Text Solution

    |

  8. int0^(pi) cos^(101)x dx is equal to

    Text Solution

    |

  9. underset(nrarroo)lim[1/(n+1)+1/(n+1)+...+1/(6n)] equals

    Text Solution

    |

  10. If d/(dx){phi(x)}=f(x)," then "int1^2f(x)dx is equal to

    Text Solution

    |

  11. int0^2|1-x|dx is equal to

    Text Solution

    |

  12. The area bouded by X-axis and the curve y -= sinx and x = 0, x=pi is

    Text Solution

    |

  13. int0^1|5x-3|dx

    Text Solution

    |

  14. The area of the region bounded by y=|x-1| and y =1 is

    Text Solution

    |

  15. int (-1)^(2) |x|^(3) dx is equal to

    Text Solution

    |

  16. int (-pi//2)^(pi//2) sin | x | dx is equal to

    Text Solution

    |

  17. The area (in sq units) of the region bounded by the curve 2x=y^2-1 and...

    Text Solution

    |

  18. int0^8|x-5|dx is equal to

    Text Solution

    |

  19. If l1=int0^12^xdx,l2=int0^12^(x^3)dx,,l3=int1^22^(x^2)dx,l4=int1^22^(x...

    Text Solution

    |

  20. The area of the region satisfying xle2,yle|x| and xge0 is

    Text Solution

    |

  21. int0^(pi//4)log(1+tanx)dx is equal to

    Text Solution

    |