Home
Class 12
MATHS
intsqrt(1-cosx)dx=?...

`intsqrt(1-cosx)dx=?`

A

`2sqrt(2)"cos"(x)/(2)+c`

B

`2(sqrt(2)-1)`

C

`(sqrt(2)+1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`intsqrt(1+cosx)dx=intsqrt(2cos^(2)(x)/(2))dx`
`=sqrt(2)int"cos"(x)/(2)dx`
`=2sqrt(2)"sin"(x)/(2)+c`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 03

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|49 Videos

  • PRACTICE SET 05

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

intsqrt(1-sinx)dx=

intsqrt(1+cos5x)dx=

intsqrt(1-cos 2x) dx

intsqrt (1+cos2x)dx

intsqrt(1-sin7x)dx=

intsqrt(1+sinx)dx=

intsqrt(1+sinx)dx

intsqrt(cosecx-1)dx=

intsqrt(1+cos 2x) dx

intsqrt(1+sin2x)dx=

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 04-PAPER 2 (MATHMATICS)
  1. IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0, then the va...

    Text Solution

    |

  2. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

    Text Solution

    |

  3. intsqrt(1-cosx)dx=?

    Text Solution

    |

  4. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

    Text Solution

    |

  5. The derivative of sinx^(3) w.r.t. cosx^(3) is

    Text Solution

    |

  6. If f(x)=|x|^(3), then f'(0) equals

    Text Solution

    |

  7. Shaded region is represented by

    Text Solution

    |

  8. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

    Text Solution

    |

  9. (lim(xto oo) ((x+3)/(x+1))^(x+1) is equal to

    Text Solution

    |

  10. The equation of the plane passing through (3,2,-1) and normal tot the ...

    Text Solution

    |

  11. For the Booleann function f(x(1),x(2),x(3))=(x(1)*x(2))+x(3), value of...

    Text Solution

    |

  12. The volume of the parallelopiped, if a=3hati,b=5hatj and c=4hatk are c...

    Text Solution

    |

  13. Find the ratio in which the line joining (2,4,5) and (3,5,4) is divide...

    Text Solution

    |

  14. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

    Text Solution

    |

  15. The differential coefficient of f(sin x) with respect to x, where f(x)...

    Text Solution

    |

  16. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  17. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

    Text Solution

    |

  18. if the function f:R to R be defined by f(x)=tanx-x, then f(x) always

    Text Solution

    |

  19. int(0)^(pi)(xdx)/(1+sinx) is equal to

    Text Solution

    |

  20. If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3...

    Text Solution

    |