मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative from the following. ∫(1-x)-2dx =

Advertisements
Advertisements

प्रश्न

Choose the correct alternative from the following.

`int (1 - "x")^(-2) "dx"` = 

पर्याय

  • `(1 + "x")^-1` + c

  • `(1 - "x")^-1` + c

  • `(1 - "x")^-1 - 1` + c

  • `(1 - "x")^-1 + 1` + c

MCQ
Advertisements

उत्तर

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

Explanation:

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

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

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Integration - MISCELLANEOUS EXERCISE - 5 [पृष्ठ १३७]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q I. 9) | पृष्ठ १३७

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

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


Integrate the function in x tan-1 x.


Integrate the function in x cos-1 x.


Integrate the function in (sin-1x)2.


Integrate the function in x (log x)2.


Integrate the function in `(xe^x)/(1+x)^2`.


Evaluate the following: `int logx/x.dx`


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

`e^-x cos2x`


Integrate the following functions w.r.t. x : `e^(sin^-1x)*[(x + sqrt(1 - x^2))/sqrt(1 - x^2)]`


Integrate the following functions w.r.t. x : cosec (log x)[1 – cot (log x)] 


Choose the correct options from the given alternatives :

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


Solve the following differential equation.

(x2 − yx2 ) dy + (y2 + xy2) dx = 0


Evaluate the following:

`int ((cos 5x + cos 4x))/(1 - 2 cos 3x) "d"x`


`int 1/sqrt(x^2 - 9) dx` = ______.


If `int(2e^(5x) + e^(4x) - 4e^(3x) + 4e^(2x) + 2e^x)/((e^(2x) + 4)(e^(2x) - 1)^2)dx = tan^-1(e^x/a) - 1/(b(e^(2x) - 1)) + C`, where C is constant of integration, then value of a + b is equal to ______.


Find `int e^x ((1 - sinx)/(1 - cosx))dx`.


`int1/sqrt(x^2 - a^2) dx` = ______


`inte^(xloga).e^x dx` is ______


The integrating factor of `ylogy.dx/dy+x-logy=0` is ______.


Solve the following

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


Evaluate:

`int((1 + sinx)/(1 + cosx))e^x dx`


Evaluate:

`int e^(logcosx)dx`


`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = ______.


Evaluate the following.

`intx^3  e^(x^2) dx`


The value of `int (x sin^-1)/(sqrt(1 - x^2)) dx` is equal to:


If \(u\) and \(v\) are differentiable functions, which formula is used for integration by parts?


Which expression is the integration-by-parts form for a product \(f(x)g(x)\)?


Repeated parts may be needed for which pair of integrals?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×