定积分∫(π/6~π/2)x/(sinx)^2
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定积分∫(π/6~π/2)x/(sinx)^2定积分∫(π/6~π/2)x/(sinx)^2定积分∫(π/6~π/2)x/(sinx)^2Π利用分部积分法原式=∫(π/6~π/2)x/(sinx)^d
定积分∫(π/6~π/2)x/(sinx)^2
定积分∫(π/6~π/2)x/(sinx)^2
定积分∫(π/6~π/2)x/(sinx)^2
Π利用分部积分法 原式=∫(π/6~π/2)x/(sinx)^dx=∫(π/6~π/2)xd(-cotx)=-xcotx |(π/6~π/2)+∫(π/6~π/2)cotxdx=-xcotx |(π/6~π/2)+ln(sinx)|(π/6~π/2)
=π√3/6+ln(1/2)
定积分∫(π/6~π/2)x/(sinx)^2
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