Integral Substitution with Exponential Functions
Posted: Wed May 20, 2026 6:50 pm
\(\underline{\int\,e^{2x \,dx}}\)ex. a
What's the solution?
\(\int\,e^{2x \,dx}\)
\(\int e^{u}\,dx\)
\(u = 2x \,dx\)
\(du = 2\,dx\)
\(\dfrac{du}{2} = \,dx\)
\(\int e^{u}\,\dfrac{du}{2}\)
\(\dfrac{1}{2}\int e^{u}\,du\)
\(\dfrac{e^{2x}}{2} + C\)