हिंदी

Evaluate Integral 1/(X(X-1))Dx

Advertisements
Advertisements

प्रश्न

Evaluate: `int 1/(x(x-1)) dx`

Advertisements

उत्तर

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2012-2013 (October)

APPEARS IN

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Prove that `int_a^bf(x)dx=f(a+b-x)dx.` Hence evaluate : `int_a^bf(x)/(f(x)+f(a-b-x))dx`


Integrate the functions:

`cos x /(sqrt(1+sinx))`


\[\int\sqrt{9 - x^2}\text{ dx}\]

Write a value of

\[\int e^x \sec x \left( 1 + \tan x \right) \text{ dx }\]

Write a value of\[\int \log_e x\ dx\].

 


Write a value of

\[\int e^{2 x^2 + \ln x} \text{ dx}\]

Write a value of\[\int\sqrt{x^2 - 9} \text{ dx}\]


The value of \[\int\frac{\cos \sqrt{x}}{\sqrt{x}} dx\] is


Evaluate the following integrals : `int tanx/(sec x + tan x)dx`


Evaluate the following integrals:

`int(2)/(sqrt(x) - sqrt(x + 3)).dx`


If `f'(x) = x - (3)/x^3, f(1) = (11)/(2)`, find f(x)


Integrate the following functions w.r.t. x : `(x^2 + 2)/((x^2 + 1)).a^(x + tan^-1x)`


Integrate the following functions w.r.t. x : `(sinx + 2cosx)/(3sinx + 4cosx)`


Evaluate the following : `int sqrt((2 + x)/(2 - x)).dx`


Evaluate the following : `int sqrt((10 + x)/(10 - x)).dx`


Evaluate the following:

`int (1)/sqrt((x - 3)(x + 2)).dx`


Evaluate the following integral:

`int (3cosx)/(4sin^2x + 4sinx - 1).dx`


Evaluate the following.

`int 1/(4"x"^2 - 1)` dx


`int logx/x  "d"x`


`int cos^7 x  "d"x`


`int sqrt(("e"^(3x) - "e"^(2x))/("e"^x + 1))  "d"x`


`int (f^'(x))/(f(x))dx` = ______ + c.


`int (sin  (5x)/2)/(sin  x/2)dx` is equal to ______. (where C is a constant of integration).


The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ______.


Evaluate `int_(logsqrt(2))^(logsqrt(3)) 1/((e^x + e^-x)(e^x - e^-x)) dx`.


`int secx/(secx - tanx)dx` equals ______.


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


Evaluate the following.

`int 1/(x^2+4x-5)  dx`


Evaluate.

`int(5"x"^2 - 6"x" + 3)/(2"x" - 3)  "dx"`


Evaluate the following.

`int 1/(x^2 + 4x - 5)dx`


`int "cosec"^4x  dx` = ______.


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


Evaluate the following.

`int1/(x^2 + 4x - 5)  dx`


Evaluate the following:

`int x^3/(sqrt(1 + x^4)) dx`


Evaluate `int (5x^2 - 6x + 3)/(2x - 3) dx`


`int (x + 1)/(x(1 + xe^x)) dx` is equal to


Which substitution is appropriate for \[\sqrt{\frac{x}{a-x}}\], \[\sqrt{\frac{a-x}{x}}\], \[\sqrt{x(a-x)}\], or \[\frac{1}{\sqrt{x(a-x)}}\]?


For \[t=\cos x\], what is \[dt\]?


Integration by substitution is the reverse process of which rule?


How should a substitution be chosen?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×