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`

A

`4/3-1/(log2)`

B

`3/(log2)+4/3`

C

`4/(log2)-1`

D

`3/(log2)-4/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 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

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. The area bounded by the curves y^(2)-x=0 and y-x^(2)=0 is

    Text Solution

    |

  2. Find the area included between the curves x^2=4y and y^2=4x.

    Text Solution

    |

  3. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |

  4. Find the area bounded by the curve 4y^2=9x and 3x^2=16 y

    Text Solution

    |

  5. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

    Text Solution

    |

  6. The area bounded by the curves 4y=x^(2) " and " 2y=6-x^(2) is

    Text Solution

    |

  7. The area of the region bounded by the parabola y^(2)=4ax and the line ...

    Text Solution

    |

  8. The area bounded by the parabola x^(2)=2y and the line y=3x is

    Text Solution

    |

  9. Area enclosed between the curve y=x^(2) and the line y = x is

    Text Solution

    |

  10. The area of the region bounded by parabola y^(2)=x and the straight li...

    Text Solution

    |

  11. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

    Text Solution

    |

  12. The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

    Text Solution

    |

  13. The area enclosed between the curves y=x and y=2x-x^(2) (in square uni...

    Text Solution

    |

  14. Find the area bounded by the curve x^2=4y and the straight line x=4y-2...

    Text Solution

    |

  15. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

    Text Solution

    |

  16. What is the area bounded by the curves y=e^x ,y =e ^-x and the straig...

    Text Solution

    |

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

    Text Solution

    |

  18. The area bounded by the curves y=(log)e xa n dy=((log)e x)^2 is e-2s q...

    Text Solution

    |

  19. The area of the region bounded by y = |x - 1| and y = 1 is

    Text Solution

    |

  20. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y...

    Text Solution

    |