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|Exercise Objective Type Questions (Only one answer)|64 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • DIFFERENTIAL EQUATIONS

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

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

int_(0)^(2pi)|cosx|dx=4

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

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

int_(0)^(1)(cosx^(-1)x)dx

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

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

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

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

AAKASH INSTITUTE-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|le2),(2, otherwise):} then int-2^3f(x)dx= (...

    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. The value of int(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to

    Text Solution

    |

  10. If a gt 0, then the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx is e...

    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 equal to

    Text Solution

    |

  14. int(0)^(pi/2) |sinx - cosx |dx is equal to

    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 int1^5 (|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+8...

    Text Solution

    |

  19. The value of the integral underset(e^(-1))overset(e^(2))int |(log(e)x)...

    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

    |