मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

∫2x-x+3 dx = ________________

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • `-2/3 [x^(3/2) + (x + 3)^(3/2)] + "c"`

  • `2/3 [x^(3/2) - (x + 3)^(3/2)] + "c"`

  • `4/9 [x^(3/2) - (x + 3)^(3/2)] + "c"`

  • `-4/9 [x^(3/2) + (x + 3)^(3/2)] + "c"`

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

`-4/9 [x^(3/2) + (x + 3)^(3/2)] + "c"`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.3: Indefinite Integration - MCQ

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Evaluate : `int (sinx)/sqrt(36-cos^2x)dx`


Evaluate :   `∫1/(cos^4x+sin^4x)dx`


Integrate the functions:

sin x ⋅ sin (cos x)


Integrate the functions:

`xsqrt(1+ 2x^2)`


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


\[\int\sqrt{2 x^2 + 3x + 4} \text{ dx}\]

Write a value of

\[\int e^x \sec x \left( 1 + \tan x \right) \text{ dx }\]

Write a value of\[\int \cos^4 x \text{ sin x dx }\]


Write a value of\[\int\frac{\cos x}{\sin x \log \sin x} dx\]

 


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


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


Integrate the following functions w.r.t. x : e3logx(x4 + 1)–1 


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


Integrate the following functions w.r.t. x : `(20 + 12e^x)/(3e^x + 4)`


Evaluate the following:

`int (1)/(25 - 9x^2)*dx`


Evaluate the following:

`int (1)/sqrt((x - 3)(x + 2)).dx`


Evaluate the following integrals:

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


Choose the correct options from the given alternatives :

`int sqrt(cotx)/(sinx*cosx)*dx` =


Evaluate `int (1 + x + x^2/(2!))`dx


Evaluate the following.

`int "x" sqrt(1 + "x"^2)` dx


Evaluate the following.

`int ("e"^"x" + "e"^(- "x"))^2 ("e"^"x" - "e"^(-"x"))`dx


Evaluate the following.

∫ (x + 1)(x + 2)7 (x + 3)dx


To find the value of `int ((1 + log x) )/x dx` the proper substitution is ______.


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


Evaluate `int (5"x" + 1)^(4/9)` dx


Evaluate `int 1/((2"x" + 3))` dx


Evaluate: `int 1/(2"x" + 3"x" log"x")` dx


`int (2(cos^2 x - sin^2 x))/(cos^2 x + sin^2 x)` dx = ______________


If `int 1/(x + x^5)` dx = f(x) + c, then `int x^4/(x + x^5)`dx = ______


If `tan^-1x = 2tan^-1((1 - x)/(1 + x))`, then the value of x is ______ 


`int (sin  (5x)/2)/(sin  x/2)dx` is equal to ______. (where C is a constant of integration).


`int cos^3x  dx` = ______.


Evaluate the following.

`int 1/(x^2+4x-5)  dx`


Solve the following Evaluate.

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


Evaluate the following.

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


Evaluate:

`int sin^2(x/2)dx`


Evaluate:

`int(cos 2x)/sinx dx`


Evaluate:

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


Evaluate the following.

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


Evaluate the following:

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


Evaluate the following.

`int1/(x^2+4x-5)dx`


Evaluate:

`intsqrt(sec  x/2 - 1)dx`


Evaluate the following.

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


For \[\sqrt{\frac{x-\alpha}{\beta-x}}\] or \[\sqrt{(x-\alpha)(\beta-x)}\], where \[\beta>\alpha\], which substitution is used?


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


In \[\int\sin^3x\cos^2x\,dx\], which rewriting prepares the integrand for the substitution \[t=\cos x\]?


For \[\int\frac{\sin x}{\sin(x+a)}\,dx\], which substitution gives \[dx=dt\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×