Home
Class 12
MATHS
int(0)^(2a)f(x)dx is equal to -...

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

A

`2int_(0)^(a)f(x)dx`

B

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

C

0

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

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

Let f(x)={{:(1-x,0lexle1,),(0,1lexle2,),((2-x)^(2),2lexle3,):} , then 6int_(0)^(3)f(x)dx is equal to-

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

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

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

STATEMENT 1: f(x) is symmetrical about x=2 . Then int_(2-a)^(2+a)f(x)dx is equal to 2int_2^(2+a)f(x)dxdot STATEMENT 2: If f(x) is symmetrical about x=b , then f(b-alpha)=f(b+alpha)AAalpha in Rdot

If altcltb then int_(a)^(b)f(x)dx is equal to-

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

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to

If |f(x)-f(y)|le2|x-y|^((3)/(2)) AAx,yinR and f(0)=1 then value of int_(0)^(1)f^2(x)dx is equal to (a) 1 (b) 2 (c) sqrt2 (d) 4

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The value of int(dx)/(2sqrt(x)(x+1)) is -

    Text Solution

    |

  2. The value of the integral int(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is...

    Text Solution

    |

  3. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

    Text Solution

    |

  4. The value of int(0)^(1000)e^(x-[x])dx is equal to -

    Text Solution

    |

  5. int(0)^(2a)f(x)dx is equal to -

    Text Solution

    |

  6. int sin^(3)x cos x dx is equal to -

    Text Solution

    |

  7. The value of int(0)^(1)sin[2tan^(-1)sqrt((1+x)/(1-x))]dx is equal to -

    Text Solution

    |

  8. The value of int sqrt(1+"sin"(x)/(4))dx is equal to -

    Text Solution

    |

  9. The value of int((1)/(e ))^(e )|log x|dx is equal to -

    Text Solution

    |

  10. If f(t) is an odd function, then int(0)^(x)f(t) dt is -

    Text Solution

    |

  11. The value of int((pi)/(4))^((3pi)/(4))(dx)/(1+cosx) is -

    Text Solution

    |

  12. The solution of the differential equation (x+2y^(3))(dy)/(dx)=y is -

    Text Solution

    |

  13. The integrating factor of linear differential equation (dy)/(dx)+y tan...

    Text Solution

    |

  14. The order and degree of the differential equation representing the fam...

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)...

    Text Solution

    |

  16. The degree of the differential equation (dy)/(dx)-x=(y - x(dy)/(dx))^(...

    Text Solution

    |

  17. The solution of the equation (dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2))...

    Text Solution

    |

  18. The solution of the equation (dy)/(dx)=(xlogx^(2)+x)/(sin y+y cosy) is...

    Text Solution

    |

  19. The solution of the differential equation y dx+(x+x^(2)y)dy=0 is -

    Text Solution

    |

  20. The solution of the differential equation e^((dy)/(dx))=x+1, when y(0)...

    Text Solution

    |