Let I _1= _ e ^ e ^2 1 x d x and I _2= _1^2 e ^x x d x then - Vidyadip

MCQ

Let $I _1=\int_{ e }^{ e ^2} \frac{1}{\log x} d x$ and $I _2=\int_1^2 \frac{ e ^x}{x} d x$ then

A
$I _1=\frac{1}{3} I _2$
B
$I_1+I_2=0$
C
$I _1=2 I _2$
✓
$I_1=I_2$

✓

Answer

Correct option: D.

$I_1=I_2$

$l_1=l_2$

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 Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $p$ : Every square is a rectangle
$q$ : Every rhombus is a kite then truth values of $p \rightarrow q$ and $p \leftrightarrow q$ are ________ and ________ respectively.

The derivative of $f(\tan x)\ \text{w.r.t.} \ g(\sec x)$ at $x=\frac{\pi}{4}$, where $f^{\prime}(1)=2$ and $g^{\prime}(\sqrt{2})=4$, is

A die is thrown and a card is selected ar random from a deck pf $52$ playing cards. The probability of getting an even number of the die and a spade card is

If $\text{y}=\text{a}+\text{bx}^2,\text{a,b}$ arbitrary constants, then

Area of the region bounded by $y=|x|$ and $y=-|x|+2$ is

The vector equation of the line passing through $\hat{i}-\hat{j}+3 \hat{k}$ and parallel to $3 \hat{i}+2 \hat{j}-5 \hat{k}$ is

A function $f$ from the set of natural numbers to integers defined by $\text{f(n)}=\begin{cases}\frac{\text{n}-1}{2},&\text{when n is odd}\\-\frac{\text{n}}{2},&\text{when n is even}\end{cases}$

The distance between the planes $2x + 2y - z +2 = 0$ and $4x + 4y - 2z + 5 = 0$ is:

If the angle between the planes $\vec{r} \cdot(m \hat{i}-\hat{j}+2 \hat{k})+3=0$ and $\vec{r} \cdot(2 \hat{i}-m \hat{j}-\hat{k})-5=0$ is $\frac{\pi}{3}$ then $m=$

If ABCDEF is a regular hexagon and $\overline{ AB }+\overline{ AC }+\overline{ AD }+\overline{ AE }+\overline{ AF }=\lambda \overline{ AD }$, then $\lambda=$