Class 12 Mathematics - Chapter Integrals NCERT Solutions | Integrals e2x
Integrals e2x
The anti derivative of e2x is a function of x whose derivative is e2x.
It is known that,
\begin{align} \frac {d}{dx} (e^{2x}) = 2e^{2x} \end{align}
⇒ \begin{align} e^{2x} =\frac {1}{2} \frac {d}{dx}(e^{2x}) \end{align}
∴ \begin{align} e^{2x} = \frac {d}{dx}\left(\frac {1}{2}e^{2x}\right) \end{align}
Therefore, the anti derivative of e2x
\begin{align} e^{2x} \;is \frac {1}{2}e^{2x} \end{align}
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