Home
Class 12
MATHS
If f(2-x)=f(2+x) and f(4-x)=f(4+x) for a...

If `f(2-x)=f(2+x)` and `f(4-x)=f(4+x)` for all `x` and `f(x)` is a function for which `int_0^2 f(x)dx=5`, then `int_0^(50)f(x)dx` is equal to

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(2a)f(x)dx is equal to -

If f(x)=f(a-x) then int_(0)^(a)xf(x)dx is equal to

If f(2a-x)=-f(x) then int_(0)^(2a)f(x)dx is equal to-

If int f(x) dx=f(x) , then int {f(x)}^(2)dx is equal to -

int (f'(x))/(f(x))dx is equal to-

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

int2^x(f'(x)+f(x)log2)dx is equal to

If f(a+b-x)=f(x) , then int_(a)^(b) x f(x)dx is equal to -

If int g(x)dx = g(x) , then int g(x){f(x) - f'(x)}dx is equal to

int2^(x)(f'(x)+f(x)log2)dx is equal to

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation x...

    Text Solution

    |

  2. Evaluate: int(-pi//2)^(pi//2) sqrt(cosx-cos^3x) dx

    Text Solution

    |

  3. If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function fo...

    Text Solution

    |

  4. int(-1)^2|x^3-x|dxdot

    Text Solution

    |

  5. If f(x) is integrable over [1,2], then int1^2f(x)dx is equal to (a) ...

    Text Solution

    |

  6. Evaluate: int(-pi/2)^(pi)sin^(-1)(sinx)dx

    Text Solution

    |

  7. The value of int0^(pi/4)sin2xdx is

    Text Solution

    |

  8. Let: an=int0^(pi/2)(1-sint)^nsin2tdt Then find the value of lim(n->o...

    Text Solution

    |

  9. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

    Text Solution

    |

  10. Prove that int0^(102)(x-1)(x-2)..(x-100)xx(1/(x-1)+1/(x-2)+.... .+ 1/...

    Text Solution

    |

  11. Let f : [0,2] rarr R be a function which is continuous on [0 , 2] and ...

    Text Solution

    |

  12. Evaluate: int0^1(1)/((1+x^2)sqrt(1-x^2))dx

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx

    Text Solution

    |

  15. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx= pi^2

    Text Solution

    |

  16. Prove that 1 lt underset(0)overset(2)int((5-x)/(9-x^(2)))dx lt 6/5

    Text Solution

    |

  17. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  18. If m is the least value (global minimum) and M is the greatest value (...

    Text Solution

    |

  19. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  20. Show that inta^b(|x|)/x dx=|b|-|a|dot

    Text Solution

    |