Mathematics

# If $I_{1}=\displaystyle \int_{e}^{e^{2}}{\dfrac{dx}{\ln x}}$ and $I_{2}=\displaystyle \int_{1}^{2}{\dfrac{e^{x}}{x}dx}$ , then

##### ANSWER

$I_{1}=I_{2}$

Its FREE, you're just one step away

Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Subjective Hard
Evaluate : $\displaystyle\int \dfrac{\sec x}{1+ \text{cosec } x}dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Hard
Evaluate $\displaystyle \int { \dfrac { \left( \cos { 5x+\cos { 4x } } \right) }{ 1-2\cos { 3x } } } dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
$\int \dfrac{\cos x}{(1+\sin x)(2+\sin x)}dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$\displaystyle\int x^3\tan^{-1}xdx$.

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q5 Passage Medium
Consider two differentiable functions $f(x), g(x)$ satisfying $\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$ & $\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$. where $\displaystyle f(x)>0 \forall x \in R$

On the basis of above information, answer the following questions :

Asked in: Mathematics - Limits and Derivatives

1 Verified Answer | Published on 17th 08, 2020