LAZYANGEL
- 15
- 1
Hey folks,
found a couple of interesting integrals and was able to solve one of them ANALYTICALLY! That means no numerical solutions needed.
$$\int_{0}^{\frac{\pi}{2}} \frac{1}{1+(tan(x))^{\sqrt{2}}} dx$$
$$\int \frac{1}{1+e^{\frac{1}{x}}} dx$$
The first one I solved and will reveal analytic solution if no one can get it (it should be $$\frac{\pi}{4}$$).
Have fun!
To moderators: These are not homework or test problems, both of them are either from an old math olympiad and an old research paper.
found a couple of interesting integrals and was able to solve one of them ANALYTICALLY! That means no numerical solutions needed.
$$\int_{0}^{\frac{\pi}{2}} \frac{1}{1+(tan(x))^{\sqrt{2}}} dx$$
$$\int \frac{1}{1+e^{\frac{1}{x}}} dx$$
The first one I solved and will reveal analytic solution if no one can get it (it should be $$\frac{\pi}{4}$$).
Have fun!
To moderators: These are not homework or test problems, both of them are either from an old math olympiad and an old research paper.