Home
Class 12
MATHS
If f(x) = 1/x^(2) int2^(x)[t^(2)+f^(')(t...

If `f(x) = 1/x^(2) int_2^(x)[t^(2)+f^(')(t)]dt,` then `f^(')(2)` =

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 f(x) = int_1^(x^(2)) tan^(-1) sqrtt dt, t gt 0 , then f^(')(1)=

int 2^(x)[f(x) log 2 +f^(')(x)]dx =

If f(x) be a continous function for all real values of x and satisfies int_3^(x) f(t) dt = x^(2)/2 + int_x^(8) t^(2) f(t) dt then int_(-1/2)^(1) f(x) dx =

If f(x) = int_(2x)^(sinx) cos (t^(3)) dt then f '(x)

If F(x) = int_(x^(2))^(x^(3)) log t dt ,( t gt 0) then F^(')(x) is equal to

If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, then f(1) =

If f(pi) = 2 and int_0^(pi) [f(x)+f^('')(x)] sin x dx = 5 then f(0)

If f(x) = int_(x^2)^(x^2 + 1) e^(-t^2) dt , find the interval in which f(x) is increasing :

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. Equation of the tangent to y= int(x^(2))^(x^(3)) (dt)/(sqrt(1+t^(2)))...

    Text Solution

    |

  2. If inta^(x) f(t) dt - int0^(y) g(t) dt = b then dy/dx at (x(0),y(0)) i...

    Text Solution

    |

  3. If f(x) = 1/x^(2) int2^(x)[t^(2)+f^(')(t)]dt, then f^(')(2) =

    Text Solution

    |

  4. If inta^(x) [f(t) - 3t] dt = a^(2)-x^(2) then f(pi/6) =

    Text Solution

    |

  5. Let f(x) = int2^(x) (dt)/(sqrt(1+t^(4)))and g be the inverse of f. The...

    Text Solution

    |

  6. If f and g are continuous [0,a) satisfying f(x) = f(a-x) and g(x)+ g(a...

    Text Solution

    |

  7. Let f : [1, oo) rarr [2, oo) be a differentiable function such that f(...

    Text Solution

    |

  8. The critical point of : f(x) = 1 + x + int1^x [(log t)^2 + 2 log t] ...

    Text Solution

    |

  9. If f(pi) = 2 and int0^(pi) [f(x)+f^('')(x)] sin x dx = 5 then f(0)

    Text Solution

    |

  10. int(-1)^(1) d/(dx) (1/(1+e^(1/x))) dx =

    Text Solution

    |

  11. inta^(b) f(x) dx is equal to

    Text Solution

    |

  12. If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x...

    Text Solution

    |

  13. If x=int0^(y) (dt)/(sqrt(1+9t^(2))) and (d^(2)y)/(dx^(2)) = ay, then a...

    Text Solution

    |

  14. int(-1)^(1) (x^3 + |x| + 1)/(x^2 + 2|x| + 1) dx is equal to :

    Text Solution

    |

  15. If int0^1 (e^t)/(1 + t) dt = a, then int0^1 (e^t)/((1 + t)^(2))dt is e...

    Text Solution

    |

  16. int(-2)^2 |x cos pi x|dx is equal to :

    Text Solution

    |

  17. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

    Text Solution

    |

  18. int(0)^(pi//4) sqrt(1 -sin 2x dx) is equal to :

    Text Solution

    |

  19. Choose the correct answer int(1)^(sqrt3)(dx)/(1+x^(2)) equals

    Text Solution

    |

  20. Choose the correct answer int(0)^(2/3)(dx)/(4+9x^(2)) equals

    Text Solution

    |