English

Choose the correct alternative from the following. The value of ∫dx1 - x is

Advertisements
Advertisements

Question

Choose the correct alternative from the following.

The value of `int "dx"/sqrt"1 - x"` is

Options

  • `2sqrt(1 - "x") + "c"`

  • - `2sqrt(1 - "x") + "c"`

  • `sqrt"x"` + c

  • x + c

MCQ
Advertisements

Solution

- `2sqrt(1 - "x") + "c"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Integration - MISCELLANEOUS EXERCISE - 5 [Page 137]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q I. 1) | Page 137

RELATED QUESTIONS

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


Integrate the functions:

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


Integrate the functions:

`1/(1 - tan x)`


Write a value of

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

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


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


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


Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`


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


Evaluate the following integrals:

`int (7x + 3)/sqrt(3 + 2x - x^2).dx`


Choose the correct option from the given alternatives : 

`int (1 + x + sqrt(x + x^2))/(sqrt(x) + sqrt(1 + x))*dx` =


Evaluate the following.

`int 1/(4x^2 - 20x + 17)` dx


Evaluate `int (5"x" + 1)^(4/9)` dx


Evaluate: ∫ |x| dx if x < 0


`int 2/(sqrtx - sqrt(x + 3))` dx = ________________


`int x/(x + 2)  "d"x`


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


Write `int cotx  dx`.


Find `int (x + 2)/sqrt(x^2 - 4x - 5) dx`.


Evaluate `int1/(x(x - 1))dx`


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


Evaluate.

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


The value of `int ("d"x)/(sqrt(1 - x))` is ______.


Evaluate the following:

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


Evaluate the following

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


Evaluate the following:

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


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


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


What must be done before integrating after obtaining \[du\]?


Which expression results after simplifying \[\int\frac{\sin(t-a)}{\sin t}\,dt\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×