Ayuda con la siguiente integral ∫(e ^ 2x - 1)dx / (e ^ 2x + 3)el resultado es : ln(e ^ 2x + 3) ^ 2 / 3 - 1 / 3x + C?

<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20I%3D%5Cint%5Cfrac%7Be%5E%7B2x%7D-1%7D%7Be%5E%7B2x%7D%2B3%7D~dx%5C%5C%20%5C%5C%20%5C%5C%20I%3D%5Cint%201-%5Cfrac%7B4%7D%7Be%5E%7B2x%7D%2B3%7D~dx%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx-4%5Cint%20%5Cfrac%7B1%7D%7Be%5E%7B2x%7D%2B3%7D~dx%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx-4%5Cint%20%5Cfrac%7B%20e%5E%7B-2x%7D%20%7D%7B1%2B3e%5E%7B-2x%7D%7D~dx%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx%2B2%5Cint%20%5Cfrac%7B%20de%5E%7B-2x%7D%20%7D%7B1%2B3e%5E%7B-2x%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%5C%5C%20" />

<img src="https://tex.z-dn.net/?f=I%3Dx%2B%5Cdfrac%7B2%7D%7B3%7D%5Cln%7C1%2B3e%5E%7B-2x%7D%7C%2BC%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx%2B%5Cdfrac%7B2%7D%7B3%7D%5Cln%5Cleft%7C%5Cdfrac%7Be%5E%7B2x%7D%20%2B3%7D%7B%20%20%20%20e%5E%7B2x%7D%20%20%7D%5Cright%7C%2BC%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx%2B%5Cdfrac%7B2%7D%7B3%7D%5Cln%7Ce%5E%7B2x%7D%2B3%7C-%20%5Cdfrac%7B2%7D%7B3%7D%20%5Cln%20e%5E%7B2x%7D%20%2BC%5C%5C%20%5C%5C%20%5C%5C%20I%3Dx%2B%5Cdfrac%7B2%7D%7B3%7D%5Cln%7Ce%5E%7B2x%7D%2B3%7C-%20%5Cdfrac%7B4%7D%7B3%7D%20x%2BC%5C%5C%20%5C%5C%20%5C%5C%20%20%20%20%5Cboxed%7BI%3D%5Cdfrac%7B2%7D%7B3%7D%5Cln%7Ce%5E%7B2x%7D%2B3%7C-%20%5Cdfrac%7B1%7D%7B3%7D%20x%2BC%7D%5C%5C" />.