Home
Class 12
MATHS
Draw a graph of the function f(x) = cos^...

Draw a graph of the function `f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1]` and find the ara enclosed between the graph of the function and the x-axis varies from 0 to 1.

Text Solution

Verified by Experts

The correct Answer is:
`3(sqrt(3)-1)` sq. units
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 3 Part - II|25 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of the function: 1-x

Draw the graph of the function f(x)=x^(x)

Draw the graph of the function f(x) = (1+1/x)^(2)

Draw the graph of the function f(x) =|x|+| x-1|

Draw the graph of the function: f(x)=log|x|

Draw the graph of the function: |f(x)|=tan x

Define the function, f(x)=cos^(-1) (cos x)-sin^(-1) (sin x)" in "[0,2pi] and find the area bounded by the graph of the function and the x-axis.

Draw the graph of the function: f(x)=-|x-1|^((1)/(2))

Graph the function F(x)=3-x,x 1

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
  1. For a natural the following questions : Now answer the following que...

    Text Solution

    |

  2. Given that lim(x to oo)(int(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1...

    Text Solution

    |

  3. Draw a graph of the function f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1] ...

    Text Solution

    |

  4. Consider a square with vertices at (1,1),(-1,1),(-1,-1),a n d(1,-1)dot...

    Text Solution

    |

  5. If [x] denotes the greatest integer function. Draw a rough sketch of t...

    Text Solution

    |

  6. Find the area of the region bounded by y = f(x), y = |g(x)| and the li...

    Text Solution

    |

  7. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

    Text Solution

    |

  8. Find the area of region {(x,y):0leylex^(2)+1, 0 le y le x+ 1, 0 le x ...

    Text Solution

    |

  9. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

    Text Solution

    |

  10. Find the area bounded by y = [-0. 01 x^(4) - 0.02 x^(2)], (where [*] ...

    Text Solution

    |

  11. Let ABC be a triangle with vertices A -=(6,,2sqrt3+1))),B-=(4,2)and C-...

    Text Solution

    |

  12. Find the area of the region which is inside the parabola satisfying t...

    Text Solution

    |

  13. Find the area of the region which is inside the parabola y = - x^(2) +...

    Text Solution

    |

  14. Consider the curve C: y = sin 2x - sqrt(3)|sinx|, C cuts the x-axis at...

    Text Solution

    |

  15. Area bounded by the line y=x, curve y=f(x),(f(x)gtx,AA xgt1) and the l...

    Text Solution

    |

  16. Consider the two curves y = 1//x^(2) and y = 1//[4(x-1)]. At what v...

    Text Solution

    |

  17. Let C1 and C2, be the graph of the functions y= x^2 and y= 2x, 0<=x<=...

    Text Solution

    |

  18. Given the parabola C : y = x^(2). If the circle at y axis with radius...

    Text Solution

    |

  19. If [(4a^2,4a,1),(4b^2,4b,1),(4c^2,4c,1)][(f(-1)),(f(1)),(f(2))][(3a^2...

    Text Solution

    |

  20. f(x) and g(x) are polynomical of degree 2 such that |int(a(1))^(a(2...

    Text Solution

    |