हिंदी

∫x2+x-6(x-2)(x-1) dx = x + ______ + c

Advertisements
Advertisements

प्रश्न

`int (x^2 + x - 6)/((x - 2)(x - 1))  "d"x` = x + ______ + c

रिक्त स्थान भरें
Advertisements

उत्तर

`int (x^2 + x - 6)/((x - 2)(x - 1))  "d"x` = x + 4 log|x-1| + c

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

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Prove that: `int sqrt(a^2 - x^2) * dx = x/2 * sqrt(a^2 - x^2) + a^2/2 * sin^-1(x/a) + c`


Evaluate `int_0^(pi)e^2x.sin(pi/4+x)dx`


Integrate the function in `(x cos^(-1) x)/sqrt(1-x^2)`.


Integrate the function in x sec2 x.


Integrate the function in (x2 + 1) log x.


Integrate the function in `e^x (1 + sin x)/(1+cos x)`.


Evaluate the following : `int log(logx)/x.dx`


Integrate the following functions w.r.t. x : `((1 + sin x)/(1 + cos x)).e^x`


Integrate the following functions w.r.t.x:

`e^(5x).[(5x.logx + 1)/x]`


Choose the correct options from the given alternatives :

`int sin (log x)*dx` =


Choose the correct options from the given alternatives :

`int [sin (log x) + cos (log x)]*dx` =


Integrate the following with respect to the respective variable : `(3 - 2sinx)/(cos^2x)`


Integrate the following w.r.t.x : cot–1 (1 – x + x2)


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


Evaluate the following.

`int x^2 e^4x`dx


Choose the correct alternative from the following.

`int (("x"^3 + 3"x"^2 + 3"x" + 1))/("x + 1")^5  "dx"` = 


`int (cos2x)/(sin^2x cos^2x)  "d"x`


`int(x + 1/x)^3 dx` = ______.


`int cot "x".log [log (sin "x")] "dx"` = ____________.


Evaluate the following:

`int_0^pi x log sin x "d"x`


`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`


`int((4e^x - 25)/(2e^x - 5))dx = Ax + B log(2e^x - 5) + c`, then ______.


If `int (f(x))/(log(sin x))dx` = log[log sin x] + c, then f(x) is equal to ______.


Find `int e^(cot^-1x) ((1 - x + x^2)/(1 + x^2))dx`.


`int logx  dx = x(1+logx)+c`


Evaluate the following.

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


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


Evaluate the following.

`int x^3 e^(x^2) dx` 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×