Home
Class 12
MATHS
If int(pi/2)^x sqrt(3-2sin^2) tdt+ int0^...

If `int_(pi/2)^x sqrt(3-2sin^2) tdt+ int_0^y costdt=0,` then `(dy/dx)at x =pi and y=pi` is

A

`sqrt3`

B

`-sqrt2`

C

`-sqrt3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If int_((pi)/(2))^(x)sqrt(3-2sin^(2))tdt+int_(0)^(y)cos tdt=0, then ((dy)/(dx))atx=pi and y=pi is

int_(0)^(pi//6) sqrt(1-sin 2x) dx

If int_((pi)/(3))^(x)sqrt((3-sin^(2)t))dt+int_(0)^(y)cos tdt=0, then evaluate (dy)/(dx)

int_(0)^( pi/2)sqrt(1-sin x)dx

if int_((pi)/(3))^(x)sqrt(3-sin^(2)t)dt+int_(0)^(y)cos tdt=0 then (dy)/(dx) is (A)(sqrt(3-sin^(2)x))/(cos y)(B)-(sqrt(3-sin^(2)x))/(cos y) (C) -(sqrt(3-cos^(2)x))/(sin y) (D) none of these

int_0^(pi/2) sin x sin 2x dx

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

int_(0)^((pi)/(4)) sqrt(1+sin 2x) dx =

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. int0^oo[3/(x^2+1)]dx, where [.] denotes the greatest integer function,...

    Text Solution

    |

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

    Text Solution

    |

  3. If int(pi/2)^x sqrt(3-2sin^2) tdt+ int0^y costdt=0, then (dy/dx)at x =...

    Text Solution

    |

  4. Let f(x)=int3^(25n+1/4) e^({2x+3}) dx, where {x} is fractional part of...

    Text Solution

    |

  5. If f(x)=ae^(2x)+be^(x)+cx satisfies the condition f(0)=ae^(2x)+be^(x)+...

    Text Solution

    |

  6. The value of inte^(pi^2) [logpi x]\ d(loge x) is

    Text Solution

    |

  7. 7(int0^1(x^4(1-x)^4dx)/(1+x^2)+pi) is equal to

    Text Solution

    |

  8. int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dxi se q u a lto...

    Text Solution

    |

  9. If I=int(0)^(pi//2)sin 2n x log cos x dx. Then l is same as

    Text Solution

    |

  10. "I f"I1=int(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I2=int(-10...

    Text Solution

    |

  11. If f(x)=[|x|], then int0^100 f(x)dx is equal to (where [.] denotes the...

    Text Solution

    |

  12. Ifint(-pi)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx)=kint(-pi/2...

    Text Solution

    |

  13. If k be positive integer , then the number of values of k satisfying i...

    Text Solution

    |

  14. If the ordinate x = a divides the area bounded by the curve y=1+(8)/(...

    Text Solution

    |

  15. Area common to the circle x^2+y^2=64 and the parabola y^2=4x is

    Text Solution

    |

  16. The ratio of the areas between the curves y=cos x and y=cos 2x and x-...

    Text Solution

    |

  17. Area bounded by y = |x - pi/2| and x = 0, x = pi equals

    Text Solution

    |

  18. The area cut off a parabola 4y=3x^(2) by the straight line 2y=3x+12 in...

    Text Solution

    |

  19. Find the area of the region lying in the first quadrant and bounded b...

    Text Solution

    |

  20. The area of smaller portion of the circle x^2+y^2=a^2 cut off by the l...

    Text Solution

    |