Home
Class 12
MATHS
I fintxlog(1+1/ x)dx=f(x)log(x+1)+g(x)x^...

`I fintxlog(1+1/ x)dx=f(x)log(x+1)+g(x)x^2+dx+C ,t h e n`

A

`f(x) = (1//2)x^(2)`

B

g(x) = log x

C

L = 1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))|30 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( NUMERICAL ANSWER TYPE QUESTION )|15 Videos
  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS))|10 Videos
  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

Similar Questions

Explore conceptually related problems

If int x log(1+(1)/(x))dx=f(x)log(x+1)+g(x)x^(2)+dx+C, then

If int x log(1+(1)/(x))dx=f(x)log(x+1)+g(x)x^(2)+Ax+C then (a)f(x)=(1)/(2)x^(2)(b)g(x)=log x(c)A=1(d) none of these

If intx log (1+(1)/(x))dx =f(x).log_(e)(x+1)+g(x)log_(e)x^(2)xLx+C , then

" 'f g) "int x log(1+x)dx

inte^(-x)log(e^x+1)dx

If int x log (1+x^(2))dx= phi (x) log (1+x^(2))+x(Psi)+C , then

f(x)=int x log x(log x+1)dx

MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTION ))
  1. int tan^(4)x dx = A tan^(3) x+ B tan x + f(x), then

    Text Solution

    |

  2. If int log(sqrt(1-x)+sqrt(1+x))dx=xf(x)+Ax+Bsin^(-1)x+C, then

    Text Solution

    |

  3. I fintxlog(1+1/ x)dx=f(x)log(x+1)+g(x)x^2+dx+C ,t h e n

    Text Solution

    |

  4. If int(1)/((x^(2)+1)(x^(2)+4))dx=Atan^(-1)x+B" tan"^(-1)(x)/(2)+C , t...

    Text Solution

    |

  5. If int(cos^(4)x)/(sin^(4)x)dx=Kcotx+Msin2x+L(x)/(2) + C then

    Text Solution

    |

  6. If int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2logg(x)+C, then

    Text Solution

    |

  7. The value of the integral int(log(x+1)-logx)/(x(x+1))dx is

    Text Solution

    |

  8. If int cosec 2x dx = f|g(x)| + C then

    Text Solution

    |

  9. If int f(x) dx = 2 cos sqrt(x) + c, then f(x) =

    Text Solution

    |

  10. int(dx)/(2sinx-cosx+3)=

    Text Solution

    |

  11. The antiderivative of (1)/(sin^(2) x + tan^(2)x) is

    Text Solution

    |

  12. If the antiderivative of (1)/(sqrt(x+x^(3//2))) is Asqrt(1+sqrt(x))+C ...

    Text Solution

    |

  13. int (e^(3x)+e^x)/(e^(4x)-e^(2x)+1) dx

    Text Solution

    |

  14. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

    Text Solution

    |

  15. If int frac{3cosx+2sinx}{4sinx+5cosx}dx=Ax+Blog|4sinx+5cosx|+C,then:

    Text Solution

    |

  16. If int(dx)/(4-3cos^(2)x+5sin^(2)x)=(1)/(3)f(3tanx)+C then f(x) is equa...

    Text Solution

    |

  17. If f(x) = (X^(2))/(1+x^(2)) and g(x) = sin x then int fo g (x) cos x d...

    Text Solution

    |

  18. If P(x)=intx^(3)/(x^(3)-x^(2))dx, Q(x)=int1/(x^(3)-x^(2))dx " and " (P...

    Text Solution

    |

  19. Evaluate the following Integrals : int(x^(4)-1)/(x^(2)(x^(4)+x^(2)...

    Text Solution

    |

  20. int(1)/(x)(log(ex)e)dx is equal to

    Text Solution

    |