Home
Class 12
MATHS
If l(1)=int(0)^(npi)f(|cosx|)dx and l(2)...

If `l_(1)=int_(0)^(npi)f(|cosx|)dx` and `l_(2)=int_(0)^(5pi)f(|cosx|)dx`, then

A

`(l_(1))/(l_(2))=(5)/(n)`

B

`(l_(1))/(l_(2))=(n)/(5)`

C

`l_(1)+l_(2)=n+5`

D

`l_(1)-l_(2)=n-5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (Only one answer)|70 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi)|cosx|dx=?

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

Evaluate int_(0)^(2pi)|cosx|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

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

What is geometrical significance of (i) int_(0)^(pi) |cosx| dx , (ii) int_(0)^((3pi)/(2)) cosx dx

int_0^pi dx/(1+cosx)

I_(1)=int_(0)^((pi)/2)Ln (sinx)dx, I_(2)=int_(-pi//4)^(pi//4)Ln(sinx+cosx)dx . Then

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then

If I_I=int_0^(pi//2)cos(sinx)dx ,I_2=int_0^(pi/2)sin(cosx)dx \ ,a n d \ I_3=int_0^(pi/2)cosx dx , then find the order in which the values I_1,I_2,I_3, exist.

AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
  1. The value of int(0)^(pi//2)logsinxdx is equal to

    Text Solution

    |

  2. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

    Text Solution

    |

  3. The value of int(0)^(2//3)(dx)/(4+9x^(2)) is equal to

    Text Solution

    |

  4. The value of int(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

    Text Solution

    |

  5. int0^1 sqrt((1-x)/(1+x)) dx

    Text Solution

    |

  6. The value of int(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

    Text Solution

    |

  7. If l(1)=int(0)^(npi)f(|cosx|)dx and l(2)=int(0)^(5pi)f(|cosx|)dx, then

    Text Solution

    |

  8. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

    Text Solution

    |

  9. Evaluate: int(-pi//2)^(pi//2)1/(1+e^(sin x))dx

    Text Solution

    |

  10. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

    Text Solution

    |

  11. The value of int(1)^(2) (dx)/(x(1+x^(4)) is

    Text Solution

    |

  12. The value of underset(0)overset(pi//2)int logtan xdx, is

    Text Solution

    |

  13. The value of int(-2)^2|1-x^2|dx is

    Text Solution

    |

  14. Evaluate int(0)^(pi//2)|sinx-cosx|dx.

    Text Solution

    |

  15. int(0)^(pi)|cosx|dx=?

    Text Solution

    |

  16. The value of the integral int(0)^(1) x(1-x)^(n)dx is -

    Text Solution

    |

  17. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to-

    Text Solution

    |

  18. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+s...

    Text Solution

    |

  19. The value of the integral int (e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

    Text Solution

    |

  20. l(n)=int(0)^(pi//4)tan^(n)xdx, then lim(nto oo)n[l(n)+l(n-2)] equals

    Text Solution

    |