Question:
e2x
Solution:
The anti derivative of $e^{2 x}$ is the function of $x$ whose derivative is $e^{2 x}$.
It is known that,
$\frac{d}{d x}\left(e^{2 x}\right)=2 e^{2 x}$
$\Rightarrow e^{2 x}=\frac{1}{2} \frac{d}{d x}\left(e^{2 x}\right)$
$\therefore e^{2 x}=\frac{d}{d x}\left(\frac{1}{2} e^{2 x}\right)$
Therefore, the anti derivative of $e^{2 x}$ is $\frac{1}{2} e^{2 x}$.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.