∫x/sin^2(x) dx

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∫x/sin^2(x) dx
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∫x/sin^2(x) dx
∫x/sin^2(x) dx

∫x/sin^2(x) dx
原式=-∫xd(cotx)
=-xcotx+∫cotxdx
=-xcotx+∫cosx/sinx*dx
=-xcotx+∫d(sinx)/sinx
=-xcotx+ln|sinx|+C

∫x/(sinx)^2dx
=-∫xd(cotx)
=-xcotx +∫cotx dx
=-xcotx + ln|cscx-cotx| + C

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