हिंदी

To find the value of ∫(1+logx)x dx the proper substitution is ______

Advertisements
Advertisements

प्रश्न

To find the value of `int ((1 + logx))/x` dx the proper substitution is ______

रिक्त स्थान भरें
Advertisements

उत्तर

1 + log x = t

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.5: Integration - Q.2

संबंधित प्रश्न

Integrate the functions:

tan2(2x – 3)


Write a value of

\[\int\frac{\cos x}{3 + 2 \sin x}\text{  dx}\]

Write a value of\[\int e^{ax} \cos\ bx\ dx\].

 


Evaluate the following integrals:

`int x/(x + 2).dx`


Evaluate the following integrals : `intsqrt(1 + sin 5x).dx`


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 : `(7 + 4 + 5x^2)/(2x + 3)^(3/2)`


Evaluate the following : `int  (1)/(x^2 + 8x + 12).dx`


Integrate the following with respect to the respective variable : `(x - 2)^2sqrt(x)`


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


Evaluate the following.

`int ("e"^"x" + "e"^(- "x"))^2 ("e"^"x" - "e"^(-"x"))`dx


Evaluate the following.

∫ (x + 1)(x + 2)7 (x + 3)dx


Evaluate the following.

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


Evaluate the following.

`int x/(4x^4 - 20x^2 - 3) dx`


Evaluate the following.

`int 1/(sqrt("x"^2 + 4"x"+ 29))` dx


If f '(x) = `1/"x" + "x"` and f(1) = `5/2`, then f(x) = log x + `"x"^2/2` + ______


State whether the following statement is True or False.

The proper substitution for `int x(x^x)^x (2log x + 1)  "d"x` is `(x^x)^x` = t


Evaluate: `int 1/(sqrt("x") + "x")` dx


`int logx/x  "d"x`


State whether the following statement is True or False:

`int"e"^(4x - 7)  "d"x = ("e"^(4x - 7))/(-7) + "c"`


`int(log(logx) + 1/(logx)^2)dx` = ______.


`int (logx)^2/x dx` = ______.


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


Evaluate the following.

`int 1/(x^2 + 4x - 5)  dx`


`int dx/((x+2)(x^2 + 1))`    ...(given)

`1/(x^2 +1) dx = tan ^-1 + c`


If f ′(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x)


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


Evaluate.

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


Evaluate the following.

`int1/(x^2+4x-5)dx`


Evaluate the following.

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×