हिंदी

Choose the correct alternative: ∫1+x dx =

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

`int sqrt(1 + x)  "d"x` =

विकल्प

  • `x/2 sqrt(1 + x) + "c"`

  • `2/3(1 + x)^(3/2) + "c"`

  • `2/sqrt(1 + x) + "c"`

  • `(-3)/2 (1 + x) + "c"`

MCQ
Advertisements

उत्तर

`2/3(1 + x)^(3/2) + "c"`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.5: Integration - Q.1

संबंधित प्रश्न

Find : `int x^2/(x^4+x^2-2) dx`


Integrate the rational function:

`(2x)/(x^2 + 3x + 2)`


Integrate the rational function:

`x/((x^2+1)(x - 1))`


Integrate the rational function:

`x/((x -1)^2 (x+ 2))`


Integrate the rational function:

`1/(x(x^4 - 1))`


Evaluate : `∫(x+1)/((x+2)(x+3))dx`


Integrate the following w.r.t. x : `(x^2 + x - 1)/(x^2 + x - 6)`


Integrate the following w.r.t. x: `(1)/(sinx + sin2x)`


Choose the correct options from the given alternatives :

If `int tan^3x*sec^3x*dx = (1/m)sec^mx - (1/n)sec^n x + c, "then" (m, n)` =


Integrate the following w.r.t. x: `(x^2 + 3)/((x^2 - 1)(x^2 - 2)`


Integrate the following w.r.t.x : `(1)/(2cosx + 3sinx)`


Evaluate:

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


`int 1/(x(x^3 - 1)) "d"x`


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


`int sqrt((9 + x)/(9 - x))  "d"x`


`int 1/(4x^2 - 20x + 17)  "d"x`


`int 1/(2 +  cosx - sinx)  "d"x`


`int sec^2x sqrt(tan^2x + tanx - 7)  "d"x`


`int x^3tan^(-1)x  "d"x`


`int (x + sinx)/(1 - cosx)  "d"x`


`int ("d"x)/(x^3 - 1)`


State whether the following statement is True or False:

For `int (x - 1)/(x + 1)^3  "e"^x"d"x` = ex f(x) + c, f(x) = (x + 1)2


Evaluate `int x^2"e"^(4x)  "d"x`


Verify the following using the concept of integration as an antiderivative

`int (x^3"d"x)/(x + 1) = x - x^2/2 + x^3/3 - log|x + 1| + "C"`


Evaluate the following:

`int x^2/(1 - x^4) "d"x` put x2 = t


Evaluate the following:

`int "e"^(-3x) cos^3x  "d"x`


If `intsqrt((x - 5)/(x - 7))dx = Asqrt(x^2 - 12x + 35) + log|x| - 6 + sqrt(x^2 - 12x + 35) + C|`, then A = ______.


Evaluate:

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


What is the result of dividing \[x^{2}+1\] by \[x^{2}-5x+6\]?


Evaluate \[\int\frac{x^{2}+1}{x^{2}-5x+6}\,dx\].


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×