Home
Class 12
MATHS
If g(x) = (f(x)-f(-x))/2 defined over [-...

If g(x) = (f(x)-f(-x))/2 defined over [-3,3] and `f(x) = 2x^(2)-4x+1`, then `int_(-3)^(3) g(x) dx =`

A

0

B

4

C

-4

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

If d/(dx) f(x) = g (x) , then int_a^b f(x) g(x) dx is:

If 2f(x)- 3f(1/x) = x then int_1^(e) f(x) dx =

int f(x) dx = g(x) , then int f(x)g(x) dx =

If f((3x-4)/(3x+4)) = x +2 , then int f(x) dx =

If f(x) = (2)/(x-3), g(x) = (x-3)/(x+4) and h (x) = (-2(2x + 1))/(x^(2) + x - 12) , then lim_(x rarr 3) [f(x) + g(x) + h(x)] is equal to :

Find fog if f(x)= x-2 and g(x) = 3x

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(-1)

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(1)

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. inta^(b) (sqrtx dx)/(sqrtx + sqrt(a+b-x)) =

    Text Solution

    |

  2. The value of int2^(3) (x+1)/(x^(2)(x-1)) dx =

    Text Solution

    |

  3. If g(x) = (f(x)-f(-x))/2 defined over [-3,3] and f(x) = 2x^(2)-4x+1, t...

    Text Solution

    |

  4. int0^(pi/4) (cos x- sin x) dx + int(pi/4)^((5pi)/4) (sinx-cosx) dx + i...

    Text Solution

    |

  5. The value of the integral int0^(oo) log(x+1/x) (dx)/(x^2 +1) is

    Text Solution

    |

  6. If f: R rarr R and g:R rarr R are one-to-one, real valued functions, t...

    Text Solution

    |

  7. If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6, then e^(x) =

    Text Solution

    |

  8. The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...

    Text Solution

    |

  9. int0^(10pi) |sin x| dx is

    Text Solution

    |

  10. int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

    Text Solution

    |

  11. int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function

    Text Solution

    |

  12. If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then

    Text Solution

    |

  13. If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

    Text Solution

    |

  14. Let I(1) = inta^(pi-a) xf (sin x) dx, I(2) = inta^(pi-a) f(sinx) dx th...

    Text Solution

    |

  15. The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...

    Text Solution

    |

  16. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

    Text Solution

    |

  17. If f(x) =

    Text Solution

    |

  18. int(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =

    Text Solution

    |

  19. int(-pi)^(pi) (1 - x^2)sin x cdot cos^2 x cdot dx is :

    Text Solution

    |

  20. If int0^(a) f(2a-x) dx = mu and int0^(a) f(x) dx = lambda, then int0^(...

    Text Solution

    |