∫sinx^4cosx^3dx

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∫sinx^4cosx^3dx∫sinx^4cosx^3dx∫sinx^4cosx^3dx∫(sinx)^4.(cosx)^3dx=∫(sinx)^4.(cosx)^2dsinx=∫[(sinx)^6

∫sinx^4cosx^3dx
∫sinx^4cosx^3dx

∫sinx^4cosx^3dx
∫(sinx)^4.(cosx)^3dx
=∫(sinx)^4.(cosx)^2dsinx
=∫[(sinx)^6-(sinx)^2]dsinx
=(1/7)(sinx)^7 - (1/3)(sinx)^3 + C