∫sin^3(x)cos^2(x)dx=

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∫sin^3(x)cos^2(x)dx=∫sin^3(x)cos^2(x)dx=∫sin^3(x)cos^2(x)dx=把一个sin(x)拿出来∫sin^3(x)cos^2(x)dx=-∫sin^2(

∫sin^3(x)cos^2(x)dx=
∫sin^3(x)cos^2(x)dx=

∫sin^3(x)cos^2(x)dx=
把一个sin(x)拿出来
∫sin^3(x)cos^2(x)dx
=-∫sin^2(x)cos^2(x)d(cos(x))
=-∫(1-cos^2)cos^2(x)d(cos(x))
=-∫cos^2-cos^4(x)d(cos(x))
=-(cos^3(x))/3+(cos^5(x))/5+c