I have found that the U-Subsitution procedure can basically be completed in one step as is here:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int f(g[x]) dx = \frac{\int f(t) dt}{g'(x)} + C[/tex]

and then replacing t with g(x) once the integral of f(x) is found.

Example: Say we have:

[tex] \int e^{x + 3x^{2}} dx [/tex]

Using the other formula, we get

[tex] \frac{e^{x + 3x^{2}}}{6x + 1} + C[/tex]

which is actually the same equation as we would have gotten if we used U substitution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is U-Substitution really just an overcomplication?

**Physics Forums | Science Articles, Homework Help, Discussion**