हिंदी

∫(1-x)-2 dx = (1-x)-1+c

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is True.

Explanation:

`int(1-x)^-2.dx`

= `(1-x)^(-2+1)/((-2+1)xx(-1))+"c"`

= `(1-x)^-1/((-1)(-1))+"c"`

= `(1 - x)^-1 + "c"`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2022-2023 (March) Official

संबंधित प्रश्न

Show that:  `int1/(x^2sqrt(a^2+x^2))dx=-1/a^2(sqrt(a^2+x^2)/x)+c`


Integrate the functions:

`xsqrt(1+ 2x^2)`


Integrate the functions:

`(x^3 sin(tan^(-1) x^4))/(1 + x^8)`


\[\int\sqrt{3 + 2x - x^2} \text{ dx}\]

Write a value of

\[\int \tan^3 x \sec^2 x \text{ dx }\].

 


Write a value of\[\int\text{ tan x }\sec^3 x\ dx\]


Write a value of\[\int\frac{\left( \tan^{- 1} x \right)^3}{1 + x^2} dx\]


Write a value of\[\int a^x e^x \text{ dx }\]


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

 


Integrate the following w.r.t. x:

`3 sec^2x - 4/x + 1/(xsqrt(x)) - 7`


Evaluate the following : `int (1)/sqrt(11 - 4x^2).dx`


Integrate the following functions w.r.t. x : `int (1)/(2sin 2x - 3)dx`


Evaluate the following integrals : `int (3x + 4)/(x^2 + 6x + 5).dx`


Evaluate the following integrals : `int sqrt((9 - x)/x).dx`


Integrate the following with respect to the respective variable:

`x^7/(x + 1)`


Evaluate the following.

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


Fill in the Blank.

`int 1/"x"^3 [log "x"^"x"]^2 "dx" = "P" (log "x")^3` + c, then P = _______


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


`int x^2/sqrt(1 - x^6)` dx = ________________


`int dx/(1 + e^-x)` = ______


If `int x^3"e"^(x^2) "d"x = "e"^(x^2)/2 "f"(x) + "c"`, then f(x) = ______.


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


Evaluate the following.

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


Evaluate the following.

`int x sqrt(1 + x^2)  dx`


Evaluate the following

`int x^3 e^(x^2) ` dx


Evaluate the following.

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


What is \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?


Integration by substitution is the reverse process of which rule?


How should a substitution be chosen?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×