Integral of \( \displaystyle e^{6 x + 3} \)

Problem 4.354 · easy

1. \[ \int e^{6 x + 3}\, dx \]
   integralStart with the integral of the given function.✓ Proved
2. \[ = \int e^{3} e^{6 x}\, dx \]
   algebraUse the property of exponents to split the term.✓ Proved
3. \[ = e^{3} \int e^{6 x}\, dx \]
   linearityFactor out the constant term.✓ Proved
4. \[ = \frac{e^{3} e^{6 x}}{6} \]
   antiderivativeApply the rule for integrating exponential functions.✓ Proved