Home
Class 12
MATHS
Find the area of the region enclosed by ...

Find the area of the region enclosed by the curves `y=xlogx` and `y=2x-2x^2dot`

A

`7//6`

B

`7//24`

C

`12//7`

D

`7//12`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - II|17 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - III|25 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 1 Part-III|1 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region enclosed by the curves y=x^(2) and y = 2x

Find the area of the region enclosed by the curves y=x^(2) and y=x^(3)

Find the area of the region enclosed by the curves y=x^(2)-4x+3 and the x-axis

Find the area of the region bounded by the curves x=2y-y^2 and y=2+x .

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Find the area of the region enclosed by the given curves . y=cos x , y=1 -(2x)/(pi)

Find the area of the region enclosed by the given curves . y=cosx , y=sin2x , x=0, x=(pi)/(2)

Draw a rough sketch of the curve y^2=4x and find the area of the region enclosed by the curve and the line y=x.

Find the area of the region enclosed by the given curves . x=4-y^(2), x=0

Find the area enclosed by the curves y=4x^2 and y^2=2x .

RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
  1. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  2. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  3. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

    Text Solution

    |

  4. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

    Text Solution

    |

  5. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

    Text Solution

    |

  6. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

    Text Solution

    |

  7. If u(n) = int(0)^(pi/2) x^(n)sinxdx, then the value of u(10) + 90 u(8...

    Text Solution

    |

  8. The value of int(1/e)^(tanx)(tdt)/(1+t^2)+int(1/e)^(cotx)(dt)/(t(1+t^2...

    Text Solution

    |

  9. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

    Text Solution

    |

  10. The value of underset (nrarrinfty)(lim)("sin"(pi)/(2n)."sin"(2pi)/(2n)...

    Text Solution

    |

  11. Area bounded by the region consisting of points (x,y) satisfying y le ...

    Text Solution

    |

  12. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

    Text Solution

    |

  13. The area enclosed by the curves x=a sin^(3)t and y= a cos^(2)t is equa...

    Text Solution

    |

  14. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  15. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

    Text Solution

    |

  16. The ratio in which the curve y = x^(2) divides the region bounded by ...

    Text Solution

    |

  17. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

    Text Solution

    |

  18. The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is...

    Text Solution

    |

  19. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

    Text Solution

    |

  20. The area of the region on place bounded by max (|x|,|y|) le 1/2 is

    Text Solution

    |