Home
Class 12
MATHS
Let f(x) = int2^x f(t^2-3t+2) dt then...

Let f(x) =` int_2^x f(t^2-3t+2) dt` then

A

g(x) is strictly increasing function

B

g(x) is strictly decreasing function

C

g(x) is constant function

D

g(x) is not derivable function

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

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=

Let f(x)=1/x^2 int_4^x (4t^2-2f'(t))dt then find the value of 9f'(4)

Let f(x)=int_0^xe^t(t-1)(t-2)dt , Then f decreases in the interval

Let f be an odd continous function which is periodic with priod 2 if g(x) = int_0^x f(t) dt then

The interval in which f(x) defined by f(x) = int_(-1)^x (t^2+2t)(t^2-1) dt increases

If f(x)=int_(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is

Let g(x) =int_0^x f(t) dt where f is such that 1//2lef(t)le1 for tin[0, 1] and 0 lef(t) le1//2 for tin[1, 2] Then the interval in which g(2) lies.

Let: f(x)=int_0^x|2t-3|dtdot Then discuss continuity and differentiability of f(x)at x=3/2

The value of underset(xrarr2)lim int_2^x (3t^2)/(x-2) dt is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. Let f:R to R be such that f(0)=0 and |f'(x)| le 5 for all x. Then f(1...

    Text Solution

    |

  2. If int (sin 2x)/((a+b cosx)^(2))dx=alpha[log(e )|a+b cos x|+(a)/(a+b c...

    Text Solution

    |

  3. Let f(x) = int2^x f(t^2-3t+2) dt then

    Text Solution

    |

  4. int(1)^(3)(|x-1|)/(|x-2|+|x-3|)dx=

    Text Solution

    |

  5. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-1...

    Text Solution

    |

  6. If int(log(e^(2)))^(x)(e^(x)-1)^(-1)dx="log"(e )(3)/(2) then the value...

    Text Solution

    |

  7. The normal to a curve at P(x, y) meets the x-axis at G. If the distanc...

    Text Solution

    |

  8. The differential equation of all the ellipses centred at the origin an...

    Text Solution

    |

  9. If x(dy)/(dx) +y= (xf(xy))/(f'(xy)), then |f(xy)| is equal to

    Text Solution

    |

  10. The straight line through the origin which divided the area formed by ...

    Text Solution

    |

  11. The value of int(0)^(5) "max" {x^(2), 6x-8}dx is

    Text Solution

    |

  12. The bulb is placed at the centre of a circular track of radius 10m. A ...

    Text Solution

    |

  13. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  14. Let vecalpha, vecbeta, vecgamma be three non-zero vectors which are pa...

    Text Solution

    |

  15. Let f:R to R be given by f(x) =|x^(2)-1|, x in R. Then

    Text Solution

    |

  16. Let a, b, c be real numbers, each greater than 1, such that (2)/(3)...

    Text Solution

    |

  17. Consider the real valued function h:{0, 1, 2 …..100} to R such that h(...

    Text Solution

    |

  18. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

    Text Solution

    |

  19. If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is eq...

    Text Solution

    |

  20. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

    Text Solution

    |