मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

D∫dxx-x2 = ______ - Mathematics and Statistics

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प्रश्न

`int ("d"x)/(x - x^2)` = ______

पर्याय

  • log x – log(1 – x) + c

  • log(1 – x2) + c

  • – log x + log(1 – x) + c

  • log(x – x2) + c

MCQ
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उत्तर

`int ("d"x)/(x - x^2)` = log x – log(1 – x) + c 

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पाठ 1.5: Integration - Q.1

संबंधित प्रश्‍न

Integrate the function in `x^2e^x`.


Integrate the function in x log x.


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Integrate the following functions w.r.t. x : `sec^2x.sqrt(tan^2x + tan x - 7)`


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Integrate the following functions w.r.t. x : `[x/(x + 1)^2].e^x`


Integrate the following functions w.r.t. x : `e^x/x [x (logx)^2 + 2 (logx)]`


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Evaluate: 

`int(1+logx)/(x(3+logx)(2+3logx))  dx`


The integrating factor of `ylogy.dx/dy+x-logy=0` is ______.


Evaluate `int(1 + x + (x^2)/(2!))dx`


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`int (logx)^2 dx`


Prove that `int sqrt(x^2 - a^2)dx = x/2 sqrt(x^2 - a^2) - a^2/2 log(x + sqrt(x^2 - a^2)) + c`


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`int_0^2 dx/(4 + x - x^2) `

= `int_0^2 dx/(-x^2 + square + square)`

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`intx^3e^(x^2)dx` 


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`intx^3/sqrt(1+x^4)  dx`


Evaluate the following.

`intx^2e^(4x)dx`


Evaluate:

`inte^x "cosec"  x(1 - cot x)dx`


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