Home
Class 12
MATHS
If u and v are two functions of x then p...

If u and v are two functions of x then prove that: `intuv dx =uint vdx - int [(du)/(dx)int vdx] dx`

Promotional Banner

Topper's Solved these Questions

  • JULY 2017

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|20 Videos

  • JULY 2016

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise Section-II|20 Videos

  • JULY 2018

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION II|20 Videos

Similar Questions

Explore conceptually related problems

If u and v are two functions of x then prove that : int uv dx = u int v dx - int [ (du)/(dx) int v dx ] dx Hence, evaluate int x e^(x) dx

If u and v are two functions of x then prove that: int uvdx=u int vdx-int[(du)/(dx)int vdx]dx

If u and v are integrable function of x, then, show that intu.v.dx=uintvdx-int[(du)/(dx)intvdx]dx . Hence evaluate intlogxdx .

If u,v and w are functions of x ,then show that (d)/(dx)(u*v*w)=(du)/(dx)v*w+u*(dv)/(dx)*w+u*v(dw)/(dx) in two ways - first by repeated application of product rule,second by logarithmic differentiation.

int(dx)/(x+sqrt(x))dx

int(dx)/(x+sqrt(x))dx

U=x^y find (dU)/dx

Prove that int_-a^a xf(x^4)dx=0

int(dx)/((x+1)(x+3))dx

If y =f(u) is differentiable function of u, and u=g(x) is a differentiable function of x, then prove that y= f [g(x)] is a differentiable function of x and (dy)/(dx)=(dy)/(du)xx(du)/(dx) .

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- JULY 2017-SECTION - II
  1. Given f(x) = 2x, x > 0 , 0 , x le 0 then f(x) is ........

    Text Solution

    |

  2. If int(0)^(prop)(3x^(2)+2x+1)dx=14, then prop = …….

    Text Solution

    |

  3. Prove that the function given by f(x)=x^3-3x^2+3x-100is increasing in...

    Text Solution

    |

  4. Differentiate 3^(x) w.r.t.log(3x)

    Text Solution

    |

  5. Check whether the conditions of Rolle's theorem are satisfied by the f...

    Text Solution

    |

  6. Evaluate int(sqrt(tanx))/(sinx. cos x) dx

    Text Solution

    |

  7. Find the area of the region bounded by the curve x^(2) = 16...

    Text Solution

    |

  8. Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

    Text Solution

    |

  9. It the function f(x) = ((5^(sinx) - 1)^(2))/(x log (1 +2 x)) for x ...

    Text Solution

    |

  10. The probability mass function for X number of major defects in a ra...

    Text Solution

    |

  11. Suppose that 80% of all families own a television set. If 5 families...

    Text Solution

    |

  12. Find the approximate values of : cos(60^(@)30')," given "1^(@)=0.01...

    Text Solution

    |

  13. The rate o growth of bacteria is proportional to the number present . ...

    Text Solution

    |

  14. int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if f is an even function 0, if...

    Text Solution

    |

  15. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

    Text Solution

    |

  16. If u and v are two functions of x then prove that: intuv dx =uint vd...

    Text Solution

    |

  17. Probability distribution of X is given by Find P(X le 2) and ob...

    Text Solution

    |

  18. Solve the differential equation. (dy)/(dx) - y = e^(x) Hence fin...

    Text Solution

    |

  19. If y = f(x) and x = g(y), where g is the inverse of f, i.e., g = f^(-1...

    Text Solution

    |

  20. int8/((x+2)(x^2+4))dx

    Text Solution

    |