Home
Class 12
MATHS
I f f(x)=int((pi^2)/(16))^(x^2)(sinxsins...

`I f f(x)=int_((pi^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta))d theta,` then find_the value of `f^(prime)(pi/2)dot`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

If y(x)=int_(pi^2/16)^(x^2)(cosxcossqrt(theta))/(1+sin^2sqrt(theta))d theta , find (dy)/(dx) at x=pi .

If f(x)=xsinx, then find f^(prime)(pi/2)

If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^(pi//4)(e^(tan^(2)theta)sintheta)/((2-tan^(2)theta)cos^(3)theta) d theta ,then find the value of (l_(1))/(l_(2)) .

int_(0)^((pi)/(2))(sin^(3)theta)/(sin^(3)theta+cos^(3)theta)d theta

Evaluate: int_(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a >0

Evaluate: int_(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a >0

If f(x)=cos^2theta+sec^2theta, then

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dx .

int (sin^(2)theta d theta)/((1 + cos theta)^(2))

Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta) . Then for all values of theta .

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If x int(0)^(x)sin(f(t))dx=(x+2)int(0)^(1)tsin(f(t))dt, where xgt0, th...

    Text Solution

    |

  2. Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1]

    Text Solution

    |

  3. I f f(x)=int((pi^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta...

    Text Solution

    |

  4. Find the equation of tangent to the y = F(x) at x = 1, where F(x) = u...

    Text Solution

    |

  5. If int0^x[x]dx=int0^([x])xdx , then prove that either x is purely fr...

    Text Solution

    |

  6. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

    Text Solution

    |

  7. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

    Text Solution

    |

  8. If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset(...

    Text Solution

    |

  9. Find the mistake in the following evaluation of the integral I=int0^pi...

    Text Solution

    |

  10. Find the value of int(-1)^1d/(dx)(tan^(-1)(1/x))dx

    Text Solution

    |

  11. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is

    Text Solution

    |

  12. The value of int(-2)^2|1-x^2|dx is

    Text Solution

    |

  13. If II=int0^(pi//2)cos(sinx)dx ,I2=int0^(pi/2)sin(cosx)dx \ ,a n d \ I3...

    Text Solution

    |

  14. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  15. Evaluate the following limit: lim(nto oo)(sum(r=1)^(n) sqrt(r)sum(r=...

    Text Solution

    |

  16. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

    Text Solution

    |

  17. If the value of the definite integral int0^1 "^(207)C7x^(200)(1-x)^7dx...

    Text Solution

    |

  18. Evaluate: int(-1)^0(dx)/(x^2+2x+2)

    Text Solution

    |

  19. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a ...

    Text Solution

    |

  20. If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int(-1)^1...

    Text Solution

    |