Explanation: 
Another Explanation (5):
∫01 xe(x2) dx = ?
ধরি, x2 = z
সুতরাং, 2x dx = dz
সুতরাং, x dx = (1/2) dz
এখন, যখন x = 0, z = 02 = 0
এবং যখন x = 1, z = 12 = 1
সুতরাং, ∫01 xe(x2) dx = ∫01 (1/2)ez dz
= (1/2) ∫01 ez dz
= (1/2) [ez]01
= (1/2) [e1 - e0]
= (1/2) [e - 1]
= (1/2)(e - 1)
সুতরাং, ∫01 xe(x2) dx = \( \frac{1}{2}(e-1) \) 🎉🎉