Home
Class 12
MATHS
Compute the area of the figure bounded b...

Compute the area of the figure bounded by the straight lines `=0,x=2` and the curves`y=2^x ,y=2x-x^2dot`

Text Solution

Verified by Experts

The correct Answer is:
`((3)/(log_(e)2)- (4)/(3))` sq. units
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-II|55 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-III|2 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Self practive problem|56 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

If A is the area of the figure bounded by the straight lines x = 0 and x = 2 and the curves y = 2x and y=2x-x^(2) then the value of ((3)/(log2)-A) is

The area of the region bounded by the straight lines y=x,y=2x and y=2 ,is

" The area of the region bounded by the straight lines "y=x,y=2x" and "y=2" ,is "

Compute the area of the figure bounded by the curve sqrtx + sqrty=1 and the straight line x+ y =1

Find the area of the figure bounded by the curve y=sin^-1x , the lines x=0 and y=pi/2 .

The area of the figure bounded by the curves y^(2)=2x+1 and x-y-1=0 , is

The area of the region bounded by the curve y=2x-x^(2) and the line y=x is

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 1
  1. Evaluate : (i) int(0)^(2pi) {sin(sinx)+sin(cosx)}dx

    Text Solution

    |

  2. Evaluate : (i) int(-1)^(2){2x}dx (where function{*} denotes fraction...

    Text Solution

    |

  3. If f(x) is a function defined AA x in R and f(x) + f(-x) = 0 AA x in [...

    Text Solution

    |

  4. (i) if f(x) = 5^(g(x)) and g(x) = int(2)^(x^(2))(t)/(ln(1+t^(2))) dt, ...

    Text Solution

    |

  5. The value of overset(sin^(2)x)underset(0)int sin^(-1)sqrt(t)dt+overs...

    Text Solution

    |

  6. If y = int(1)^(x) xsqrt(lnt)dt then find the value of (d^(2)y)/(dx^(...

    Text Solution

    |

  7. lim(n to oo)n^2*int(1/(n+1))^(1/n)(tan^(-1)(nx)/sin^(-1)(nx)dx) is equ...

    Text Solution

    |

  8. Let f be a differentiable function on R and satisfying the integral eq...

    Text Solution

    |

  9. Evaluate : int(0)^(pi)xsin^(5)xdx

    Text Solution

    |

  10. Evaluate : Lim(nrarroo) 3/n[1+sqrt((n)/(n+3))+sqrt((n)/(n+6))+sqrt((n...

    Text Solution

    |

  11. Find the area enclosed betweent the curve y = x^(2)+3, y = 0, x = - 1,...

    Text Solution

    |

  12. (i) Find the area bounded by x^(2)+y^(2)-2x=0 and y = sin'(pix)/(2) in...

    Text Solution

    |

  13. Examples: Find the area of the region bounded by the curve y^2 = 2y - ...

    Text Solution

    |

  14. Find the area bounded by the y-axis and the curve x = e^(y) sin piy, ...

    Text Solution

    |

  15. The smaller area bounded by x^2/16+y^2/9=1 and the line 3x+4y=12 is

    Text Solution

    |

  16. Compute the area of the figure bounded by the straight lines =0,x=2...

    Text Solution

    |

  17. If the area bounded by f(x)=sqrt(tan x), y=f(c), x=0 and x=a, 0ltcltal...

    Text Solution

    |

  18. For the area included between the parabolas x=y^(2) and x = 3-2y^(2).

    Text Solution

    |

  19. A tangent is drawn to the curve x^(2)+2x-4ky+3=0 at a point whose absc...

    Text Solution

    |

  20. If An be the area bounded by the curve y=(tanx^n) ands the lines x=0,\...

    Text Solution

    |