मराठी

∫-11|x-2|x-2dx, x ≠ 2 is equal to ______.

Advertisements
Advertisements

प्रश्न

`int_-1^1 |x - 2|/(x - 2) dx`, x ≠ 2 is equal to ______.

पर्याय

  • 1

  • – 1

  • 2

  • – 2

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

`int_-1^1 |x - 2|/(x - 2) dx`, x ≠ 2 is equal to – 2.

Explanation:

`int_-1^1 |x - 2|/(x - 2) dx`; x ≠ 2 = `[-x]_-1^1`

= – [1 + 1]

= – 2.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2022-2023 (March) Delhi Set 1

संबंधित प्रश्‍न

By using the properties of the definite integral, evaluate the integral:

`int_0^(pi/2)  (cos^5  xdx)/(sin^5 x + cos^5 x)`


By using the properties of the definite integral, evaluate the integral:

`int_0^(pi/4) log (1+ tan x) dx`


By using the properties of the definite integral, evaluate the integral:

`int_0^(pi/2) (2log sin x - log sin 2x)dx`


`int_(-pi/2)^(pi/2) (x^3 + x cos x + tan^5 x + 1) dx ` is ______.


The total revenue R = 720 - 3x2 where x is number of items sold. Find x for which total  revenue R is increasing.


Evaluate = `int (tan x)/(sec x + tan x)` . dx


`int_0^1 "e"^(2x) "d"x` = ______


`int_(-7)^7 x^3/(x^2 + 7)  "d"x` = ______


`int_0^(pi"/"4)` log(1 + tanθ) dθ = ______


`int_(-1)^1 log ((2 - x)/(2 + x)) "dx" = ?`


`int_0^1 log(1/x - 1) "dx"` = ______.


`int_0^9 1/(1 + sqrtx)` dx = ______ 


`int_0^(pi/2)  cos x "e"^(sinx)  "d"x` is equal to ______.


`int (dx)/(e^x + e^(-x))` is equal to ______.


Evaluate: `int_1^3 sqrt(x)/(sqrt(x) + sqrt(4) - x) dx`


`int_a^b f(x)dx` = ______.


If `int_(-a)^a(|x| + |x - 2|)dx` = 22, (a > 2) and [x] denotes the greatest integer ≤ x, then `int_a^(-a)(x + [x])dx` is equal to ______.


`int_0^1|3x - 1|dx` equals ______.


Let `int_0^∞ (t^4dt)/(1 + t^2)^6 = (3π)/(64k)` then k is equal to ______.


If `lim_("n"→∞)(int_(1/("n"+1))^(1/"n") tan^-1("n"x)"d"x)/(int_(1/("n"+1))^(1/"n") sin^-1("n"x)"d"x) = "p"/"q"`, (where p and q are coprime), then (p + q) is ______.


`int_(π/3)^(π/2) x sin(π[x] - x)dx` is equal to ______.


`int_((-π)/2)^(π/2) log((2 - sinx)/(2 + sinx))` is equal to ______.


The value of `int_0^(π/4) (sin 2x)dx` is ______.


Evaluate: `int_(-π//4)^(π//4) (cos 2x)/(1 + cos 2x)dx`.


Evaluate: `int_0^(π/4) log(1 + tanx)dx`.


Evaluate the following limit :

`lim_("x"->3)[sqrt("x"+6)/"x"]`


Solve.

`int_0^1e^(x^2)x^3dx`


Evaluate the following integral:

`int_0^1x(1-x)^5dx`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×