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mina [271]
3 years ago
14

∫eˣ²dx find integral show all steps​

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

\int \: e {}^{x {}^{2} } dx \\  y =  {e}^{ {x}^{2} }  \\   ln(y)  =  {x}^{2}  \\  \frac{dy}{y}  = 2xdx \\  dy/2x =  {e}^{ {x}^{2} } dx \\  \int \: d( {e}^{ {x}^{2} } ) =  \int {e}^{ {x}^{2} } .2xdx \\  \frac{{e}^{ {x}^{2} } }{2x}  =  \int \: {e}^{ {x}^{2} } dx \\  \int \: {e}^{ {x}^{2} } dx \:  =  \frac{1}{2x} {e}^{ {x}^{2} }  + c

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