Home
Class 12
MATHS
Determine the area enclosed between the ...

Determine the area enclosed between the curve `y= cos 2x, 0 le x le (pi)/(4)` and the co-ordinate axes.

Text Solution

Verified by Experts

The correct Answer is:
`1/2` sq. units
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 8 (B)|25 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|20 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the area enclosed between the curve y = cos x, 0 le x le (pi)/(4) and the co-ordinate axes.

Find the area enclosed between the curve y = cos ^(2)x, 0 le x le (pi)/(2) and the co-ordinate axes.

The area enclosed by the curvey y= cos 2x, 0 le x le (pi)/(4) and co-ordinate axes is 1/4 sq. unit.

What is the area between the curve y = cos 3x, 0 le x le pi/6 and the co-ordinate axes ?

What is the area between the curve y=cos3x,0lexle(pi)/6 and the coordinate axes?

(i) Make a rough sketch of the graph of the function y = sin x, 0 le x le (pi)/(2) and determine the area enclosed between the curve, the x-axis and the line x = (pi)/(2). (ii) Find the area bounded by the curve: (I) y = sin x" "(II) y = cos x bewtween x =0 and x =2pi.

Find the area between the x-axis and the curve y = sqrt(1+cos4x), 0 le x le pi .

The area bounded by the curve y = sin^(2) x, 0 le x le pi/2 , X axis and the line x = pi/2 is

(i) Draw a rough sketch of y = sin 2x and determine the area enclosed by the curve, x-axis and the lines x = (pi)/(4) and x = (3pi)/(4). (ii) Draw the graph of y = cos 3x, 0 lt x le (pi)/(6) and find the area between the curve and the axes.

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -EXERCISE 8 (A)
  1. Find the area under the curve y =(x^2 + 2)^2 + 2x between the ordinate...

    Text Solution

    |

  2. Find the area of the region in the first quadrant enclosed by x-axis,...

    Text Solution

    |

  3. Prove that area of the smaller part of the cirlce x ^(2) + y ^(2) =a ^...

    Text Solution

    |

  4. Determine the area under the curve y=sqrt(a^(2)-x^(2)) included betwee...

    Text Solution

    |

  5. Determine the area enclosed between the curve y= cos 2x, 0 le x le (pi...

    Text Solution

    |

  6. Calculate the area bounded by the curve: f (x)= sin ^(2) "" (x)/(2),...

    Text Solution

    |

  7. Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the ar...

    Text Solution

    |

  8. (i) Make a rough sketch of the graph of the function y = sin x, 0 le x...

    Text Solution

    |

  9. Make a rough sketch of the graph of the function y =2 sin x, 0 le x le...

    Text Solution

    |

  10. (i) Draw a rough sketch of y = sin 2x and determine the area enclosed...

    Text Solution

    |

  11. Make a rough sketch of the graph of y = cos ^(2) x, 0 le x le (pi)/(2)...

    Text Solution

    |

  12. Find the area bounded by the cirxle x^2+y^2 =16 and the line y=x in th...

    Text Solution

    |

  13. Find the area of the smaller part of the circle x^2+y^2=a^2cut off by...

    Text Solution

    |

  14. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

    Text Solution

    |

  15. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

    Text Solution

    |

  16. Find the area of the region bounded by the ellipse : (a) (x ^(2))/( ...

    Text Solution

    |

  17. Find the area between the curve (x ^(2))/( a ^(2)) + (y ^(2))/(b ^(2))...

    Text Solution

    |

  18. Find the area of the region bounded by the ellipse x^2 / a^2 + y^2 / b...

    Text Solution

    |

  19. Sketch the region {(x,y): 4x ^(2) + 9y ^(2) = 36} and find its area, u...

    Text Solution

    |

  20. Find the area bounded by the circle x 2 + y2 = 16 and the line 3y...

    Text Solution

    |