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Home  >>  CBSE XII  >>  Math  >>  Integrals
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Find an anti derivative(or integral)of the function by the method of inspection $e^{2x}$

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Toolbox:
  • $\frac{d}{dx}[F(x)+c]=f(x),$
  • $\int f(x)\;dx=F(x)+c$
We know that $\frac{d}{dx}(e^{2x})=2e^{2x}.$
 
$e^{2x}=\frac{1}{2}\frac{d}{dx}(e^{2x}).$
 
$\quad\;=\frac{d}{dx}\big(\frac{1}{2}e^{2x}\big).$
 
Therefore an anti derivative of $e^{2x}$ is $\frac{1}{2}e^{2x}$.

 

answered Jan 25, 2013 by sreemathi.v
 
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