MCQ
$\int_1^2 \frac{ e ^{\frac{1}{x}}}{x^2} d x=$
  • A
    $2 \sqrt{ e }(1+\sqrt{ e })$
  • B
    $\sqrt{ e }(1-\sqrt{ e })$
  • $\sqrt{ e }(\sqrt{ e }-1)$
  • D
    $\sqrt{ e }(1+\sqrt{ e })$

Answer

Correct option: C.
$\sqrt{ e }(\sqrt{ e }-1)$
$\sqrt{ e }(\sqrt{ e }-1)$

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

Similar questions

If the inverse of product of the matrix
$B=\left[\begin{array}{ccc}2 & 6 & 4 \\ 1 & 0 & 1 \\ -1 & 1 & -1\end{array}\right]$ with a matrix $A$ is
$C=\left[\begin{array}{ccc}-1 & 0 & 1 \\ 1 & 1 & 3 \\ 2 & 0 & 2\end{array}\right]$, then $A^{-1}$ equals
Let $*$ be a binary operation on $R$ defined by $a * b = ab + 1.$ Then, $*$ is:
Order and degree of the differential equation $\left[1+\left(\frac{d y}{d x}\right)^3\right]^{\frac{7}{3}}=7 \frac{d^2 y}{d x^2}$ are respectively....
$\int_0^1 \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x=$
Mark the correct alternative in the following question for the binary operation $*$ on $Z$ defined by $a * b = a + b + 1,$ the identity element is:
Let $\bar{p}$ and $\bar{q}$ be the position vectors of $\mathrm{P}$ and $\mathrm{Q}$ respectively, with respect to $\mathrm{O}$ and $|\bar{p}|=p_{\text {}}$,

$|\bar{q}|=q$. The points $R$ and $S$ divide PQ internally and externally in the ratio $2: 3$ respectively.

If OR and OS are perpendicular then.

If $|\overline{ a }|=1$, then $\overline{ a }$ is a
The Order and degree of the differential equation $\left[1+\left(\frac{d y}{d x}\right)^3\right]^{\frac{7}{3}}=7 \frac{d^2 y}{d x^2}$ are respectively....
If p: Sita gets promotion,
q: Sita is transferred to Pune.
The verbal form of ∼p↔q is written as
If $A$ is the area of the region bounded by the curve $y=\sqrt{3 x+4}, X$-axis and the lines $x=-1$ and $x=4$ and $B$ is that area bounded by curve $y^2=3 x+4, X$-axis and the lines $x=-1$ and $x=4$, then $A: B$ is equal to