Home
Class 12
MATHS
if f(x) is a differential function such ...

if `f(x)` is a differential function such that `f(x)=int_(0)^(x)(1+2xf(t))dt&f(1)=e`, then
Q. Identify the correct statements (s):

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

if f(x) is a differential function such that f(x)=int_(0)^(x)(1+2xf(t))dt&f(1)=e , then Q. int_(0)^(1)f(x)dx=

if f be a differentiable function such that f(x) =x^(2)int_(0)^(x)e^(-t)f(x-t). dt. Then f(x) =

Let f(x) be a differentiable function such that f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt then int_(0)^(1)f(x)dx=

If f(x) is differentiable function and f(x)=x^(2)+int_(0)^(x) e^(-t) (x-t)dt ,then f)-t) equals to

Let f:RtoR be a differentiable function such that f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt . f(x) increases for

If f' is a differentiable function satisfying f(x)=int_(0)^(x)sqrt(1-f^(2)(t))dt+1/2 then the value of f(pi) is equal to

Let f:R to R be defined as f(x)=e^(-x)sinx . If F:[0, 1] to R is a differentiable function such that F(x)=int_(0)^(x)f(t)dt , then the vlaue of int_(0)^(1)(F'(x)+f(x))e^(x)dx lies in the interval

Let f be a differentiable function such that f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt then prove that f(x)=(x^(3))/(3)+x^(2)

RESONANCE DPP-JEE MAINS-All Questions
  1. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. Which of the ...

    Text Solution

    |

  2. Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) t...

    Text Solution

    |

  3. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |

  4. If f(x) is a differentiable function wherever it is continuous and f'(...

    Text Solution

    |

  5. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |

  6. Number of solutions of the equation sec^(-1)((2)/((1)/(x)+x))+picospix...

    Text Solution

    |

  7. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

    Text Solution

    |

  8. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  9. The letters of word ZENITH are written in all possible ways. If all ...

    Text Solution

    |

  10. int(e^x(1+x))/(cos^2 (e^x * x) )dx equals (A) -cot(e x^x)+C (B) tan...

    Text Solution

    |

  11. ABC is a Delta such A,B,C are at a distance 5 units from the origin. I...

    Text Solution

    |

  12. Let R={(3,3),(6,6),(9,9),(12,12), (6,12),(3,9),(3,12),(3,6)} be a rela...

    Text Solution

    |

  13. The equation of the image of the circle x^2+y^2+16 x-24 y+183=0 in the...

    Text Solution

    |

  14. If A and B are two sets with n(A)=4 and n(B)=2 then the number of onto...

    Text Solution

    |

  15. A man tosses a coin 10 times, scoring 1 point for each head and 2 poin...

    Text Solution

    |

  16. For a real number x let [x] denote the largest integer less than or eq...

    Text Solution

    |

  17. if the differential equation of a curve, passing through (0,-(pi)/(4))...

    Text Solution

    |

  18. If the tangent to the curve y = 1 – x^(2) at x = alpha, where 0 lt alp...

    Text Solution

    |

  19. Number of ways in which 5 different toys can be distributed in 5 child...

    Text Solution

    |

  20. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |