e^2(x-1) x^2 d x= - Vidyadip

MCQ

$\int \frac{e^2(x-1)}{x^2} \cdot d x=$

✓
$\frac{e^x}{x}+c$
B
$\frac{e^x}{x^2}+C$
C
$\left(x-\frac{1}{x}\right) e^x+c$
D
$x e^{-x}+c$

✓

Answer

Correct option: A.

$\frac{e^x}{x}+c$

$\frac{e^x}{x}+c$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Indefinite Integration→Indefinite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

The lines $\frac{x}{1}=\frac{y}{2}=\frac{z}{3}$ and $\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{6}$ and are

The volume of a sphere is increasing at $3\ cm^3/ \sec$. The rate at which the radius increases when radius is $2\ cm$, is:

The vector equation of line 2x – 1 = 3y + 2 = z – 2 is

Given 'p'and 'q' as true and 'r' as false, the truth values of $\sim p \wedge(q \vee \sim r)$ and $(p \rightarrow q) \wedge r$ are respectively

If one side of a triangle is double the other and the angles opposite to these sides differ by $60^{\circ}$, then the triangle is

In a triangle ABC , $\frac{2 \cos A}{a}+\frac{\cos B}{b}+\frac{2 \cos C}{c}=\frac{a}{b c}+\frac{b}{c a}$, then the value of angle A is

For the following distribution function $F(X)$ of a r.v. $X$

X	1	2	3	4	5	6
F(X)	0.2	0.37	0.48	0.62	0.85	1

$P(3<X \leq 5)=$

If $\sin^{-1}\Big(\frac{\text{x}^2-\text{y}^2}{\text{x}^2+\text{y}^2}\Big)=\log\text{a}$ then $\frac{\text{dy}}{\text{dx}}$ is equal to:

If $y =\sec \left(\tan ^{-1} x \right)$ then $\frac{ d y}{ d x}$ at $x =1$ is____

The volume of parallelopiped with vector $\bar{a}+2 \bar{b}-\bar{c}, \bar{a}-\bar{b}$ and $\bar{a}-\bar{b}-\bar{c}$ is equal to $k[\bar{a} \bar{b} \bar{c}]$, then $k=$