Home
Class 12
MATHS
int(2-a)^(2+a)f(x)dx is equal to [where ...

`int_(2-a)^(2+a)f(x)dx` is equal to [where `f(2-alpha)=f(2+alpha) AAalpha in R`
(a) 2`int_2^(2+a)f(x)dx` (b) `2int_0^af(x)dx` (c) `2int_2^2f(x)dx` (d) none of these

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 -

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

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

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

int 2^(x)(f'(x)+f(x)log 2)dx is equal to

Prove that int_(0)^(2a)f(x)dx=int_(0)^(a)[f(a-x)+f(a+x)]dx

Evaluate:If f(a-x)=f(x), then show that int_0^axf(x)dx=a/2int_0^af(x)dx

If f(a+b-x)=f(x), then prove that int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dxdot

If f(a+b-x)=f(x), then prove that int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dxdot

int_(0)^(2a)(f(x)dx)/(f(x)+f(2a-x))=a

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. The value of the integral int(-(3pi)/4)^((5pi)/4)((sinx+cosx)/(e^(x-pi...

    Text Solution

    |

  2. Ifint0^(npi)f(cos^2x)dx=kint0^pif(cos^2x)dx ,t h e nfin dt h ev a l u ...

    Text Solution

    |

  3. int(2-a)^(2+a)f(x)dx is equal to [where f(2-alpha)=f(2+alpha) AAalpha ...

    Text Solution

    |

  4. Evaluate: int0^a(dx)/(x+sqrt((a^2-x^2)))orint0^(pi/2)(d theta)/(1+tant...

    Text Solution

    |

  5. Suppose that F(x) is an anti derivative of f(x)=(sinx)/x, where xgt0. ...

    Text Solution

    |

  6. Evaluate: int(-pi)^pi(xsinx dx)/(e^x+1)

    Text Solution

    |

  7. Ifint0^1cot^(-1)(1-x+x^2)dx=lambdaint0^1tan^(-1)x dx ,then lambda is e...

    Text Solution

    |

  8. Show that int0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4

    Text Solution

    |

  9. The number of positive continuous f(x) defined in [0,1] for with I(1)=...

    Text Solution

    |

  10. int 0^(pi/2) (sin^2x)/(sinx+cosx)dx

    Text Solution

    |

  11. The value of the definite integral int0^(pi/2)sqrt(tanx)dx is (a) s...

    Text Solution

    |

  12. For theta in (0,pi/2), prove that int0^theta"log"(1+tanthetatanx)dx=th...

    Text Solution

    |

  13. A function f is defined by f(x)=1/(2^(r-1)),1/(2^r)ltxlt=1 (2^(r-1)),...

    Text Solution

    |

  14. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

    Text Solution

    |

  15. If P(x) is a polynomial of the least degree that has a maximum equal t...

    Text Solution

    |

  16. Evaluate: int0^pixlogsinxdx

    Text Solution

    |

  17. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

    Text Solution

    |

  18. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

    Text Solution

    |

  19. The value of int1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dx is...

    Text Solution

    |

  20. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

    Text Solution

    |