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प्रश्न
Integrate the functions:
`x/(e^(x^2))`
उत्तर
Let `I = int x/ (e^(x^(2))) dx`
Put x2 = t
⇒ 2x dx = dt
∴ `I = 1/2 int dt/e^t`
`= 1/2 int e^-t dt`
`= 1/2 (e^-t/-1) + C`
`= -1/(2e^t) + C`
`= -1/ 2^(e^(x^2)) + C`
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