∫e^3√xdx/√x怎么解

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∫e^3√xdx/√x怎么解∫e^3√xdx/√x怎么解∫e^3√xdx/√x怎么解∫e^(3√x)dx/√x=(2/3)∫e^(3√x)d(3√x)=(2/3)[e^(3√x)]+Clety=√xd

∫e^3√xdx/√x怎么解
∫e^3√xdx/√x怎么解

∫e^3√xdx/√x怎么解
∫e^(3√x)dx/√x
=(2/3)∫e^(3√x)d(3√x)
=(2/3)[e^(3√x)] + C
let
y =√x
dy = (1/(2√x)) dx
∫e^(3√x)dx/√x
=2∫e^(3y)dy
= (2/3)∫e^(3y)d3y
= (2/3)e^(3y) + C
=(2/3)[e^(3√x)] + C