Home
Class 12
MATHS
Let f(0) and int(0)^(2) f'(2t)e^(f(2t))d...

Let `f(0)` and `int_(0)^(2) f'(2t)e^(f(2t))dt=5` . Then the value of `f(4)` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^(x^(2)(1+x))f(t)dt=x , then the value of f(2) is.

Let f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s log 2 (b) log 7 (c) log 11 (d) log 13

Let f(0)=0a n dint_0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)i s log 2 (b) log 7 (c) log 11 (d) log 13

If f:R in R is continuous and differentiable function such that int_(-1)^(x) f(t)dt+f'''(3) int_(x)^(0) dt=int_(1)^(x) t^(3)dt-f'(1)int_(0)^(x) t^(2)dt+f'(2) int_(x)^(3) r dt , then the value of f'(4), is

f(x)=int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

Let f(x)=int_(2)^(x)f(t^(2)-3t+4)dt . Then

Let f:R in R be a continuous function such that f(1)=2. If lim_(x to 1) int_(2)^(f(x)) (2t)/(x-1)dt=4 , then the value of f'(1) is

Let f(x) be a differentiable function satisfying f(x)=int_(0)^(x)e^((2tx-t^(2)))cos(x-t)dt , then find the value of f''(0) .

If int_(0) ^(x) f (t) dt = x + int _(x ) ^(1) t f (t) dt, then the value of f (1) , is

Let f be a continuous function satisfying the equation int_(0)^(x)f(t)dt+int_(0)^(x)tf(x-t)dt=e^(-x)-1 , then find the value of e^(9)f(9) is equal to…………………..

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The number of roots of the equation 2sqrt(2x+1)=2x-1 is equal to

    Text Solution

    |

  2. The functionf(x)=|ax-b|+ax-b|+c|x| forallx in(-00,00) where agt0, bt0,...

    Text Solution

    |

  3. Let f(0) and int(0)^(2) f'(2t)e^(f(2t))dt=5 . Then the value of f(4) i...

    Text Solution

    |

  4. The value of c in Rolle's theorem for the function f(x)=(x(x+1))/(e^(x...

    Text Solution

    |

  5. Maximum value of |z+1+i|, where z in S is (a)sqrt(2) (b) 2 (c)...

    Text Solution

    |

  6. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  7. If ("log"a)/(b-c) = ("log"b)/(c-a) = ("log"c)/(a-b), "then" a^(a)b^(b)...

    Text Solution

    |

  8. Value of 'alpha' for which system of equations x+y+z=1,x+2y+4z=alpha a...

    Text Solution

    |

  9. if alpha,beta be the roots of the equation (x-a)(x-b)+x=0(c ne0), then...

    Text Solution

    |

  10. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

    Text Solution

    |

  11. If |(x^2-5x+3, 2x-5, 3) (3x^2+x+4, 6x+1, 9) (7x^2-6x+9, 14 x-6, 21)| =...

    Text Solution

    |

  12. Draw the graph of y=|x^(2)-3|x|+2|.

    Text Solution

    |

  13. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  14. Draw the graph of y=|x^(2)-3|x|+2|.

    Text Solution

    |

  15. If point (a ,a) lies in between the lines |x+y|=6 , then ' a ' may sat...

    Text Solution

    |

  16. If sintheta+costheta=1/5a n d0lt=theta<pi, then tantheta is -4/3 (b) ...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. If a x 62+b x+c=0 has imaginary roots and a-b+c >0 then the set of poi...

    Text Solution

    |

  19. From a point "P" on the line 2x+ y +4 which is nearest to the circle x...

    Text Solution

    |

  20. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

    Text Solution

    |