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

Choose the correct options from the given alternatives : ∫ex(x-1)x2⋅dx =

Advertisements
Advertisements

प्रश्न

Choose the correct options from the given alternatives :

`int (e^x(x - 1))/x^2*dx` =

पर्याय

  • `e^x/x + c`

  • `e^x/x^2 + c`

  • `(x - 1/x)e^x + c`

  • `xe^-x + c`

MCQ
Advertisements

उत्तर

`e^x/x + c`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४९]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.11 | पृष्ठ १४९

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Find `int((3sintheta-2)costheta)/(5-cos^2theta-4sin theta)d theta`.


Find `intsqrtx/sqrt(a^3-x^3)dx`


Integrate the functions:

`(2x)/(1 + x^2)`


Integrate the functions:

sin (ax + b) cos (ax + b)


Integrate the functions:

`xsqrt(x + 2)`


Integrate the functions:

`(x^3 - 1)^(1/3) x^5`


Integrate the functions:

`x/(9 - 4x^2)`


`int (dx)/(sin^2 x cos^2 x)` equals:


Evaluate: `int (2y^2)/(y^2 + 4)dx`


Evaluate: `int (sec x)/(1 + cosec x) dx`


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

\[\int\cos x \sqrt{4 - \sin^2 x}\text{ dx}\]

\[\int e^x \sqrt{e^{2x} + 1} \text{ dx}\]

\[\int\sqrt{16 x^2 + 25} \text{ dx}\]

Write a value of

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

Write a value of\[\int\text{ tan x }\sec^3 x\ dx\]


Write a value of\[\int\frac{\sin 2x}{a^2 \sin^2 x + b^2 \cos^2 x} \text{ dx }\]


Write a value of

\[\int\frac{1 + \log x}{3 + x \log x} \text{ dx }\] .

Write a value of\[\int\frac{\sin x}{\cos^3 x} \text{ dx }\]


Write a value of\[\int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx\] .


Find : ` int  (sin 2x ) /((sin^2 x + 1) ( sin^2 x + 3 ) ) dx`


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


Integrate the following functions w.r.t. x : `(logx)^n/x`


Integrate the following functions w.r.t. x : `(x^n - 1)/sqrt(1 + 4x^n)`


Choose the correct options from the given alternatives :

`int (e^(2x) + e^-2x)/e^x*dx` =


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


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


Evaluate the following.

`int 1/(x(x^6 + 1))` dx 


Evaluate the following.

`int 1/("a"^2 - "b"^2 "x"^2)` dx


Evaluate the following.

`int 1/(sqrt(3"x"^2 + 8))` dx


State whether the following statement is True or False.

If ∫ x f(x) dx = `("f"("x"))/2`, then find f(x) = `"e"^("x"^2)`


Evaluate: ∫ |x| dx if x < 0


Evaluate: `int (2"e"^"x" - 3)/(4"e"^"x" + 1)` dx


`int x^2/sqrt(1 - x^6)` dx = ________________


`int  ("e"^x(x - 1))/(x^2)  "d"x` = ______ 


`int ("e"^(2x) + "e"^(-2x))/("e"^x)  "d"x`


Evaluate `int(3x^2 - 5)^2  "d"x`


`int ("d"x)/(x(x^4 + 1))` = ______.


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


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


`int cos^3x  dx` = ______.


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


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


`int dx/((x+2)(x^2 + 1))`    ...(given)

`1/(x^2 +1) dx = tan ^-1 + c`


Evaluate:

`int sqrt((a - x)/x) dx`


`int "cosec"^4x  dx` = ______.


Evaluate:

`int(cos 2x)/sinx dx`


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


`int (x + 1)/(x(1 + xe^x)) dx` is equal to


What is \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×