Home
Class 12
MATHS
Find the area of the region bounded by t...

Find the area of the region bounded by the x-axis and the curves defined by `y=tanx(w h e r e-pi/2lt=xlt=pi/3)` and `y=cotx(w h e r epi/6lt=xlt=(3x)/2)` .

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(2)log_(e )3)`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the x-axis and the curves defined by y=tanx(w h e r e-pi/3lt=xlt=pi/3) and y=cotx(w h e r epi/6lt=xlt=(3x)/2) .

Find the area of the region bounded by the x-axis and the curves defined by y = tanx , (where (-pi)/(3) le x le (pi)/(3) ) and y = cotx .(where (pi)/(6) le x le (2pi)/(3) )

The area of the region bounded by the curve y=e^(x) and lines x=0 and y=e is

The area of the region bounded by the curve y=e^(x) and lines x=0 and y=e is

Find the area of region bounded by the curve a y^2=x^3, the y-axis and the lines y=a and y=2adot

Find the area of that region bounded by the curve y="cos"x, X-axis, x=0 and x=pi .

Find the area of the region bounded by the curve y="sin"x,x=(pi)/(2)andx=(3pi)/(2)

The area of the region bounded by the curve y=x"sin"x, x-axis, x=0 and x=2pi is :

Find the area of the region bounded by the curve C : y=tanx ,t a nge n td r a w ntoC at x=pi/4, and the x-axis.

Write the range of the function f(x)=sin[x],w h e r e(-pi)/4lt=xlt=pi/4 .

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. Find the area of the region bounded by the curves y=x^2,y=|2-x^2|,a n ...

    Text Solution

    |

  2. Let f(x) be continuous function given by f(x)={2x ,|x|lt=1and x^2+a x+...

    Text Solution

    |

  3. Let C(1) and C(2) be the graphs of the functions y=x^(2) and y=2x, res...

    Text Solution

    |

  4. Let f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)}, where 0lt=xlt=1. Determine ...

    Text Solution

    |

  5. Find all the possible values of b >0, so that the area of the bounded ...

    Text Solution

    |

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

    Text Solution

    |

  7. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  8. Sketch the curves and identify the region bounded by the curves x=1...

    Text Solution

    |

  9. Compute the area of the region bounded by the curves y-e x(log)e xa n ...

    Text Solution

    |

  10. Find all maxima and minima of the function y = x(x-1)^2 for 0<=x<=2 ...

    Text Solution

    |

  11. Find the area of the region bounded by the curve C: y = tan x, tangent...

    Text Solution

    |

  12. Find the area bounded by the curves x^2+y^2=25 ,4y=|4-x^2|, and x=0 ab...

    Text Solution

    |

  13. Find the area bounded by the curves x^2+y^2=4,x^2=sqrt(2)y ,a n dx=ydo...

    Text Solution

    |

  14. Sketch the region bounded by the curves y=sqrt(5-x^2) and y=|x-1| and ...

    Text Solution

    |

  15. Find the area of the region bounded by the x-axis and the curves de...

    Text Solution

    |

  16. Find the area bounded by the x-axis, part of the curve y=(1-8/(x^2)) ,...

    Text Solution

    |

  17. Find the area bounded by the curves y=2x-x^2 and the straight line y=-...

    Text Solution

    |

  18. The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    Text Solution

    |

  19. If I=(2)/(pi)int(-pi//4)^(pi//4)(dx)/((1+e^(sin x))(2-cos 2 x)) then 2...

    Text Solution

    |

  20. The value of the integral int(0)^(pi//2)(3sqrt(costheta))/((sqrt(cos...

    Text Solution

    |