Reverse Chain Rule with Exponentials

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  • SL
  • Tier 3
  • Exponential functions
  • Indefinite integration
  • Reverse chain rule

Evaluate the integral \(\int e^{3x} \,dx\).

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Hint

Consider the derivative of \(e^{kx}\) and work backwards to reverse the chain rule. Remember to account for the constant multiple in the exponent.

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Complete Answer

\(\frac{1}{3}e^{3x}+C\)

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