- #1
Saitama
- 4,243
- 93
Problem:
$$\int_1^e \frac{1+x^2\ln x}{x+x^2\ln x}\,\,dx$$
Attempt:
I tried the substitution $\ln x=t \Rightarrow dx/x=dt$ and got the following integral:
$$\int_0^1 \frac{1+e^{2t}t}{1+e^t t}\,dt$$
I am not sure how to proceed after this.![Confused :confused: :confused:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Any help is appreciated. Thanks!
$$\int_1^e \frac{1+x^2\ln x}{x+x^2\ln x}\,\,dx$$
Attempt:
I tried the substitution $\ln x=t \Rightarrow dx/x=dt$ and got the following integral:
$$\int_0^1 \frac{1+e^{2t}t}{1+e^t t}\,dt$$
I am not sure how to proceed after this.
Any help is appreciated. Thanks!