Question

find the Anti derivatives or integral of e^{2x} the method of inspection.  

Answer 1

HELLO DEAR,

the anti derivatives of e^{2x} is a function of x whose derivative is e^{2x}.


we know:- $\bold{\frac{d}{dx}(e^{2x})}$ = 2e^{2x}​

$\bold{\Rightarrow e^{2x} = 1/2(\frac{d}{dx}e^{2x})}$

$\bold{\therefore, e^{2x} = \frac{d}{dx}(\frac{1}{2}e^{2x})}$

HENCE, the Anti derivatives of e^{2x} = 1/2e^{2x}

I HOPE ITS HELP YOU DEAR,
THANKS