Home
Class 12
MATHS
If g(x)=int(sinx)^("sin"(2x))sin^(-1)(t)...

If `g(x)=int_(sinx)^("sin"(2x))sin^(-1)(t)dt ,t h e n :` `g^(prime)(pi/2)=-2pi` (b) `g^(prime)(-pi/2)=-2pi` `g^(prime)(-pi/2)=2pi` (d) `g^(prime)(pi/2)=2pi`

A

`g'(-(pi)/(2)) = 2pi`

B

`g'(-(pi)/(2)) = - 2pi`

C

`g'((pi)/(2)) = 2pi`

D

`g'((pi)/(2)) = -2pi`

Text Solution

Verified by Experts

The correct Answer is:
BOUNS
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

If g(x)=int_(sinx)^("sin"(2x))sin^(-1)(t)dt ,t h e n : (a)g^(prime)(pi/2)=-2pi (b) g^(prime)(-pi/2)=-2pi (c)g^(prime)(-pi/2)=2pi (d) g^(prime)(pi/2)=2pi

int_(-pi/2)^(pi/2) sin^(2) x dx

If g(x)=int_(0)^(x)cos^(4)t dt , then prove that g(x+pi)=g(x)+g(pi) .

int_(-pi)^( pi)x sin^(2)xdx=

int_(-(pi)/(2))^(pi/2)x sin^(2)xdx

If I=int_(-pi)^pi e^(sinx)/(e^(sinx)+e^(-sinx))dx , then I equals (A) pi/2 (B) 2pi (C) pi (D) pi/4

int_(-pi/2)^( pi/2)x^(2)sin xdx

Function g(x)=int_(-3)^(x)sin t((1)/(2)-cos t)dt where 0

If g(x)=int_(0)^(x)cos4tdt then equals: (1)(g(x))/(g(pi))(2)g(x)+g(pi)(3)g(x)-g(pi)(4)g(x)*g(pi)

Off(x)=int_0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f(pi) (b) f(x)+2(pi) (c)f(x)+f(pi/2) (d) f(x)+2f(pi/2)

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
  1. If alpha = int(0)^(1)e^(9x+3tan^(-1)x)) ((12+9x^(2))/(1+x^(2)))dx wher...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Let F(x) = int(x)^(x^(2)+(pi)/(6))2cos^(2)t dt for all x in R and f: [...

    Text Solution

    |

  9. The total number of distinct x in (0,1] for which int(0)^(x)(t^(2))/...

    Text Solution

    |

  10. The value of int(-(pi)/(2))^(pi/2)(x^(2)cosx)/(1+e^(x))dx is equal to

    Text Solution

    |

  11. Area of region {(x,y) in R^(2): y ge sqrt(|x+3|,)5y le x + 9 le 15}

    Text Solution

    |

  12. Let f(x) = lim(nrarroo) ((n^(n)(x+n)(x+n/2)"......."(x+n/n))/(n!( x^(...

    Text Solution

    |

  13. Let f: Rvec(0,1) be a continuous function. Then, which of the followin...

    Text Solution

    |

  14. Let f : R rarr R be a defferentiable function such that f(0) = 0 , f(p...

    Text Solution

    |

  15. If Isum(k=1)^(98)intk^(k+1)(k+1)/(x(x+1))dx ,t h e n: I<(49)/(50) ...

    Text Solution

    |

  16. If the line x = alpha divides the area of region R = {(x,y) in R^(2) :...

    Text Solution

    |

  17. If g(x)=int(sinx)^("sin"(2x))sin^(-1)(t)dt ,t h e n : g^(prime)(pi/2)...

    Text Solution

    |

  18. For each positive integer n, let y(n) = 1/n ((n+1)(n+2) "……"(n+n))^...

    Text Solution

    |

  19. A farmer F1 has a land in the shape of a triangle with vertices at ...

    Text Solution

    |

  20. The value of the intetgral int(0)^(1//2)(1+sqrt(3))/(((x+1)^(2)(1-x)^...

    Text Solution

    |