∫ sin^4(x)cos^3(x)dx

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∫sin^4(x)cos^3(x)dx∫sin^4(x)cos^3(x)dx∫sin^4(x)cos^3(x)dx∫sin^4(x)cos^3(x)dx=∫sin^4(x)cos^2(x)cosxdx

∫ sin^4(x)cos^3(x)dx
∫ sin^4(x)cos^3(x)dx

∫ sin^4(x)cos^3(x)dx
∫ sin^4(x)cos^3(x)dx
= ∫ sin^4(x) cos^2 (x) cosx dx
= ∫ sin^4(x) * [1 - sin^2(x)] d(sinx)
= ∫ sin^4(x) d(sinx) - ∫ sin^6(x) d(sinx)
= (1/5)*sin^5(x) - (1/7) sin^7 (x) + 常数