(-2x^3)*e^(x^2) 求积分看例题看到这里不知道怎么求的(-2x^3)*e^(x^2) =

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∫(-2x^3)*e^(x^2)dx
=∫(-x^2)d(e^(x^2))
=-x^2*e^(x^2)+∫2xe^(x^2)dx
=-x^2*e^(x^2)+∫e^(x^2)d(x^2)
=-x^2*e^(x^2) + e^(x^2) +C
======以下答案可供参考======
供参考答案1:
∫(-2x^3)*e^(x^2)dx
=∫(-x^2)*e^(x^2)dx^2
=∫(-x^2)de^(x^2)
=-x^2*e^(x^2)+∫e^(x^2)dx^2
=-x^2*e^(x^2)+e^(x^2)+C
供参考答案2:
(-2x^3)*e^(x^2) 求积分看例题看到这里不知道怎么求的(-2x^3)*e^(x^2) =-x^2*e^(x^2)+e^(x^2)）整个式子是：∫（-2x^3）*e^(x^2)dx = -x^2*e^(x^2) + e^(x^2)(图1)
供参考答案3:
∫（-2x^3）*e^(x^2)dx
= ∫（-2x^2）*e^(x^2)d(x^2/2)
=-∫ x^2*e^(x^2)d(x^2)
=-∫ x^2 d[e^(x^2)]
=-x^2*e^(x^2) + ∫ e^(x^2)d(x^2)
=-x^2*e^(x^2) + e^(x^2) + C