∫sin(xdx)等于多少?
问题描述:
∫sin(xdx)等于多少?
答
∫(sinx)^3dx =∫(sinx)^2*sinxdx = -∫sin^2xd(cosx) = -∫(1-cos^2x)d(cosx) = -cosx+1/3*(cosx)^3+C
∫sin(xdx)等于多少?
∫(sinx)^3dx =∫(sinx)^2*sinxdx = -∫sin^2xd(cosx) = -∫(1-cos^2x)d(cosx) = -cosx+1/3*(cosx)^3+C