Home
Class 12
MATHS
If phi(x) = int(1//x)^(sqrtx) sin(t^2) d...

If `phi(x) = int_(1//x)^(sqrtx) sin(t^2) dt,` then `phi'(1)` is equal to

A

sin 1

B

2 sin 1

C

(1/2) sin 1

D

(3/2) sin 1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 4

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If f(x) = int_(2x)^(sinx) cos (t^(3)) dt then f '(x)

If f(x) = int_(0)^(x) t sin t dt, then f'(x) is

If F(x) = int_(x^(2))^(x^(3)) log t dt ,( t gt 0) then F^(')(x) is equal to

If phi (x) = cos x - int_0^(x) (x-t) phi (t) dt , then the value of phi^('')(x) + phi (x) =

int tan^(-1)sqrtx dx is equal to

If f(x) = 1/x^(2) int_2^(x)[t^(2)+f^(')(t)]dt, then f^(')(2) =

If F(x) = int_3^x (2 + d/(dt) cos t)dt , then F' (pi/6) equals :

int_(0)^(1//2) |sin pi x| dx is equal to :

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 5-Mathematics
  1. If the base of an isosceles triangle is of length '2a' and the length ...

    Text Solution

    |

  2. PQ is double ordinate of the hyperbola x^2//a^2 - y^2//b^2 =1 such tha...

    Text Solution

    |

  3. If phi(x) = int(1//x)^(sqrtx) sin(t^2) dt, then phi'(1) is equal to

    Text Solution

    |

  4. If int cosex 2x dx = f(g(x)) + c , then

    Text Solution

    |

  5. If y=e^(4x) + 2e^(-x) satisfies the relation y3 + Ay1 + By = 0 then

    Text Solution

    |

  6. Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc...

    Text Solution

    |

  7. One diameter of the circle circumscribing the rectangle ABCD is 4y= x+...

    Text Solution

    |

  8. P is a point on the given curve such that the normal at P to the curve...

    Text Solution

    |

  9. If 4a^2 + 9b^2 - c^2 + 12ab=0 , then the family of straight lines ax +...

    Text Solution

    |

  10. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  11. Let a=(1//3) (-hati + 2hatj + 2hatk), then

    Text Solution

    |

  12. F(X)= {{:(|x-2|+a ,"for "x lt 2),(b-|x-2|, "for "x ge 2):}} then

    Text Solution

    |

  13. The conic given by y^2 + 8x - 12y + 20 =0

    Text Solution

    |

  14. The number of solutions of 1+ sin^6 x = cosx , in the interval 0 le x ...

    Text Solution

    |

  15. a,b,c are the lengths of the sides of a non-degenerate triangle , If k...

    Text Solution

    |

  16. k ne -1 is a constant. The value of lim(n to oo)(1^k + 2^k + …. + n^...

    Text Solution

    |

  17. P(x) is a polynomial satisfying P(x+3//20) = P(x), for all x. If P(5) ...

    Text Solution

    |

  18. The unit's digit of 1^2 + 2^2 + ….. + n^2 is 5. The unit's digit of 1...

    Text Solution

    |

  19. The least +ve remainder of division of 100 xx 128xx37 by 6 is

    Text Solution

    |

  20. If (3-x) -=(2x-5) (mod 4) then one of the values of x is

    Text Solution

    |