Home
Class 12
MATHS
Let f:R rarr R be a function defined by ...

Let `f:R rarr R` be a function defined by `f(x)=(x)/((1+x^(4))^(1/4))` ,and `g(x)=f(f(f(f(x))))` Then,`18int_(0)^(sqrt(2sqrt(5)))x^(2)g(x)dx` is equal to

A

42

B

36

C

33

D

39

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

Let f:R rarr R be a function is defined by f(x)=x^(2)-(x^(2))/(1+x^(2)), then

Letf(x)=x/((1+x^4)^(1/4))&g(x)=f(f(f(f(x)))) then int_0^(sqrt(2sqrt(5)))x^2g(x)dx is

Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be defined by f(x)=(x)/(x^(2)+1) Then (fof(1) equals

Let f:R rarr R be defined as f(x)=(2x-3 pi)^(2)+(4)/(3)x+cos x and g(x)=f'(x) , then find g(x)

Let f:R rarr R be defined by f(x)=sqrt(25-x^2) Find domain of f(x)

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. If the domain of the function f(x)=log(e)((2x+3)/(4x^(2)+x-3))+cos^(-1...

    Text Solution

    |

  2. If x^(2)-y^(2)+2hxy+2gx+2fy+c=0 is the locus of a point,which moves su...

    Text Solution

    |

  3. Let f:R rarr R be a function defined by f(x)=(x)/((1+x^(4))^(1/4)) ,an...

    Text Solution

    |

  4. The variance sigma^(2) of the data

    Text Solution

    |

  5. Let a line passing through the point (-1,2,3) intersect the lines L(1)...

    Text Solution

    |

  6. Consider two circles C(1):x^(2)+y^(2)=25 and C(2):(x-alpha)^(2)+y^(2)=...

    Text Solution

    |

  7. Let S(n) be the sum to "n" -terms of an arithmetic progression 3,7,11,...

    Text Solution

    |

  8. The number of real solutions of the equation x(x^(2)+3|x|+5|x-1|+6|x-2...

    Text Solution

    |

  9. Let Y=Y(X) be a curve lying in the first quadrant such that the area e...

    Text Solution

    |

  10. The area of the region enclosed by the parabola (y-2)^(2)=x-1 ,the lin...

    Text Solution

    |

  11. The number of symmetric relations defined on the set {1,2,3,4} which a...

    Text Solution

    |

  12. Let alpha=sum(k=0)^(n)(((""^(n)C(k))^(2))/(k+1)) and beta=sum(k=0)^(n-...

    Text Solution

    |

  13. In an examination of Mathematics paper,there are "20" questions of equ...

    Text Solution

    |

  14. If one of the diameters of the circle x^(2)+y^(2)-10x+4y+13=0 is a cho...

    Text Solution

    |

  15. The distance of the point Q(0,2,-2) form the line passing through the ...

    Text Solution

    |

  16. lim(x rarr0)(e^(2|sin x|)-2|sin x|-1)/(x^(2))

    Text Solution

    |

  17. Let "a" be the sum of all coefficients in the expansion of (1-2x+2x^(2...

    Text Solution

    |

  18. The solution curve of the differential equation y(dx)/(dy)=x(log(e)x-l...

    Text Solution

    |

  19. Let vec a=3 hat i+hat j-2 hat k,vec b=4 hat i+hat j+7 hat k and vec c=...

    Text Solution

    |

  20. Three rotten apples are accidently mixed with fifteen good apples. Ass...

    Text Solution

    |