Home
Class 12
MATHS
The area enclosed by the curvesy= sinx+c...

The area enclosed by the curves`y= sinx+cosx and y = | cosx-sin x |` over the interval `[0,pi/2]`

A

`4(sqrt(2)-1)`

B

`2sqrt(2)(sqrt(2)-1)`

C

`2(sqrt(2)+1)`

D

`2sqrt(2)(sqrt(2)+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 3 Part - II|25 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - IV|9 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

The area enclosed by the curves y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)]

The area enclosed by the curve y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)] is 4(sqrt(2)-2) (b) 2sqrt(2)(sqrt(2)-1)2(sqrt(2)+1)(d)2sqrt(2)(sqrt(2)+1)

Using integration, find the area enclosed by the curve y = cos, y = sin x and x - axis in the interval [0, pi//2] .

Area enclosed by the curves y=sinx+cosx and y=abs(cosx-sinx) and the lines x=0 and x= pi/2

The angle between the curves y = sinx and y = cosx is

The area enclosed by the curve |y|=sin2x where x in[0,2 pi]. is

The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
  1. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

    Text Solution

    |

  2. If f(x) = int(0)^(x) e^(t^(2)) (t-2) (t-3) dt for all x in (0, oo) , t...

    Text Solution

    |

  3. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

    Text Solution

    |

  4. Let f : [1/2, 1] rarr R (the set of the all real numbers) be a positiv...

    Text Solution

    |

  5. For a in R (the set of all real numbers), a ne = - 1, lim(nrarroo)((...

    Text Solution

    |

  6. Let f:[a,b]to[1,oo) be a continuous function and let g:RtoR be defined...

    Text Solution

    |

  7. Let f : (0,oo) rArr R be given f(x) = underset(1/x)overset(x)e^((1+(dt...

    Text Solution

    |

  8. The value of int(0)^(1) 4x^(3){(d^(2))/(dx^(2))(1-x^(2))^(5)}dx is

    Text Solution

    |

  9. The following integral int(pi/4)^(pi/2)(2cosecx)^(17) dx is equal to

    Text Solution

    |

  10. Given that for each a epsilon(0,1),lim(hto 0^(+)) int(h)^(1-h)t^(-a)(1...

    Text Solution

    |

  11. Given that for each a epsilon(0,1),lim(hto 0^(+)) int(h)^(1-h)t^(-a)(1...

    Text Solution

    |

  12. Text Solution

    |

  13. Let f : R rarr R be a function defined by f(x) ={{:([x],xle2),(0,xgt...

    Text Solution

    |

  14. If alpha = int(0)^(1)e^(9x+3tan^(-1)x)) ((12+9x^(2))/(1+x^(2)))dx wher...

    Text Solution

    |

  15. Let f: RvecR be a continuous odd function, which vanishes exactly at o...

    Text Solution

    |

  16. Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^4x-3tan^2x for all x in (-pi/2,...

    Text Solution

    |

  17. Let f'(x) = (192x^(2))/(2+sin^(4)pix) for all x in R with f(1/2) = 0. ...

    Text Solution

    |

  18. The option(s) with the values of a and L that satisfy the following eq...

    Text Solution

    |

  19. Let F:R- R be a thrice differentiable function. Suppose that F(1)=0,F(...

    Text Solution

    |

  20. Let F : R rarr R be a thrice differentiable function, Supose that F(...

    Text Solution

    |