Question

Integrate it for 50 points

Happy diwali ... ​

Answer 1

Hii !

• Solution is in this given attachment

Hope it helps you !!

@Rajkumar .

Answer 2

Step-by-step explanation:

Given,

$\int\limits^e_1 {e^x log x(1 + x)} \, dx$

$\Rightarrow \int\limits^e_1 {x log x + log x} \, dx$

$\Rightarrow \int\limits^e_1 {e^x (x log x + log x + 1}) - \int e^x \, dx$

$\Rightarrow e^{e + 1} - e^e + 1$

Hope it helps!