Home
Class 12
MATHS
If y(x)=\ int(pi^2//16)^(x^2)(cos xdotco...

If `y(x)=\ int_(pi^2//16)^(x^2)(cos xdotcossqrt(theta))/(1+sin^2sqrt(theta))dotdtheta\ t h e n\ fin d(dy)/(dx)a t\ x=pi`

A

`pi`

B

`2pi`

C

`3pi`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos
  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

If y(x)=int_((pi^(2))/(16))^(x^(2))(cos x cos sqrt(theta))/(1+sin^(2)sqrt(theta))d theta then find y'(pi)

If y(x)=int_((pi^(2))/(16))^(x^(2))(cos x cos sqrt(theta))/(1+sin^(2)sqrt(theta)), then f in d(dy)/(dx)atx=pi

If f(x)=int_((x^(2))/(16))^(x^(2))(sin x sin sqrt(theta))/(1+cos^(2)sqrt(theta))d theta, then find the value of f'((pi)/(2))^((16)/(16))

int_(pi//4) ^(pi//2) (cos theta)/((cos (theta/2) + sin (theta/2))^(3))d theta=

int_(0)^( pi)(sin theta+cos theta)/(sqrt(1+sin2 theta))d theta

If x=a(theta-sin theta) and,y=a(1+cos theta) find (dy)/(dx) at theta=(pi)/(3)

If f(x)=int_(0)^((pi)/(2))(ln(1+x sin^(2)theta))/(sin^(2)theta)d theta,x>=0 then :

x=3costheta-2cos^(3)theta,y=3sintheta-2sin^(3)theta" then find dy/dx at "theta=(pi)/(4)

If x=a (theta-sin theta) and y=a(1-cos theta) , find (d^(2)y)/(dx^(2)) at theta=pi.

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. If I (1) = int (0) ^(1) 2 ^(x ^(2)) dx, I (2) = int (0) ^(1) 2 ^(x ^(3...

    Text Solution

    |

  2. If u (n) = int (0) ^(pi//2) x ^(n) sin x dx, n in N then the value of ...

    Text Solution

    |

  3. The vlaue of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

    Text Solution

    |

  4. In = int0^(pi/4) tan^n x dx , then the value of n(l(n-1) + I(n+1)) is

    Text Solution

    |

  5. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

    Text Solution

    |

  6. Let I (1) = int (0) ^(1) (e ^(x) dx )/( 1 + x) and I (2) = int (0) ^(1...

    Text Solution

    |

  7. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  8. If underset(0)overset(100)intf(x) dx = a, then underset(r=1)overset(10...

    Text Solution

    |

  9. If f(x) and g(x) are continuous functions, then int(In lamda)^(In (1//...

    Text Solution

    |

  10. underset(2-ln3)overset(3+ln3)int(ln(4+x))/(ln(4+x)+ln(9-x))dx is equal...

    Text Solution

    |

  11. If [x] stands for the greatest integer function, the value of overset(...

    Text Solution

    |

  12. Find the value of the function f(x)=1+x+int1^x((lnt)^2+2lnt) dt where ...

    Text Solution

    |

  13. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

    Text Solution

    |

  14. If f(x) is differentiable and int0^(t^2)xf(x)dx=2/5t^5, then f(4/(25))...

    Text Solution

    |

  15. If y(x)=\ int(pi^2//16)^(x^2)(cos xdotcossqrt(theta))/(1+sin^2sqrt(the...

    Text Solution

    |

  16. lim( n to oo) (sin ""(pi)/(2n) . sin ""(2pi)/(2n). sin ""(3pi)/(2n)......

    Text Solution

    |

  17. The value of underset( n rarroo)(lim) underset(r=1)overset(r=4n)(sum)(...

    Text Solution

    |

  18. lim(n->oo) (1^p+2^p+3^p+...........+n^p)/n^(p+1)

    Text Solution

    |

  19. Evaluate : lim(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim(n->oo) (1^3+2^3...

    Text Solution

    |

  20. underset(n to oo)lim underset(r=1)overset(n)sum(1)/(n)e^(r//n) is

    Text Solution

    |