求∫(π/4,π/2) x/sin^2xdx的过程,
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求∫(π/4,π/2) x/sin^2xdx的过程,
求∫(π/4,π/2) x/sin^2xdx的过程,
求∫(π/4,π/2) x/sin^2xdx的过程,
原式=∫xcsc^2(x)dx=-∫xd(cotx)=-xcotx+∫cotxdx=-xcotx+∫cosx/sinx*dx=-xcotx+∫d(sinx)/sinx=-xcotx+ln|sinx|+C
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