(-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)

问题描述:

(-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)

∫(-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