Question

∫eˣ²dx find integral show all steps​

Answer 1

`\int \: e {}^{x {}^(2) } dx \\ y = {e}^{ {x}^(2) } \\ ln(y) = {x}^(2) \\ (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 \: = (1)/(2x) {e}^{ {x}^(2) } + c`