Home
Class 12
MATHS
Find the antiderivative F of f defined b...

Find the antiderivative F of `f` defined by `f(x)=4 x^3-6`, where `F(0)=3`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of f(x) = 3 at x = 0 and x =3 .

Find the approximate value of f(3.02) where f(x)=3x^2+5x+3 .

Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15 .

Find the approximate value of f(2.01), where f(x)= 4x^2+5x+2

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

If f is a real function defined by f(x)=(x-1)/(x+1) , then prove that f(2 x)=(3f(x)+1)/(f(x)+3) .

Consider the function f:R rarr R defined by f(x)=|x-1| . Is f(2)=f(0) ,why?

Find the relation between 'a' and 'b' if the function f defined by f(x)={(ax+1,xle3),(bx+3,x>3):} is continuous.

Find all points of discontinuity of f where f is defined by f(x)={(2x+3,xle2),(2x-3,x>2):}

If f(x)=2x+3, find f[f(x)] .

V PUBLICATION-INTEGRALS-QUESTION BANK
  1. Find the following integrals: i) int( x^3-1)/x^2 d x ii) int(x^(2/3)...

    Text Solution

    |

  2. Find the following integrals. i) int(sin x+cos x) dx ii) int( cosec x...

    Text Solution

    |

  3. Find the antiderivative F of f defined by f(x)=4 x^3-6, where F(0)=3

    Text Solution

    |

  4. Find the antiderivative (or integral) of the following functions by th...

    Text Solution

    |

  5. Find the antiderivative (or integral) of the following functions by th...

    Text Solution

    |

  6. Find the antiderivative (or integral) of the following functions by th...

    Text Solution

    |

  7. Find the antiderivative (or integral) of the following functions by th...

    Text Solution

    |

  8. Find the antiderivative (or integral) of the following functions by th...

    Text Solution

    |

  9. Find the integrals int(4 e^(3x)+1) d x

    Text Solution

    |

  10. Evaluate the following integrals int x^2 (1-1/x^2) dx

    Text Solution

    |

  11. Evaluate the following integrals int (ax^2 + bx + c)dx

    Text Solution

    |

  12. Evaluate the following integrals int (2x^2 + e^x) dx

    Text Solution

    |

  13. Find the integrals int(sqrt(x)-1/(sqrt(x)))^2 d x

    Text Solution

    |

  14. Evaluate the following integrals: int(x^3 +5x^2 -4)/x^2 dx

    Text Solution

    |

  15. Evaluate the following integrals: int (x^3 +3x +4)/sqrtx dx

    Text Solution

    |

  16. Evaluate the following integrals int (x^3-x^2 +x -1)/(x-1) dx

    Text Solution

    |

  17. Evaluate the following integrals int (1-x) sqrtx dx

    Text Solution

    |

  18. Find the integrals int( sqrt(x)(3 x^2+2 x+3) d x

    Text Solution

    |

  19. Evaluate the following integrals int (2x-3 cosx +e^x) dx

    Text Solution

    |

  20. Find the integrals int(2 x^2-3 sin x+5 sqrt(x)) d x

    Text Solution

    |