2. 考研
  3. 设f(x)为连续函数，证明：∫0πf(sinx)dx=π/2∫0πf(sinx)dx=π∫0π/2f(sinx)dx；证明：∫02πf(｜sinx｜)dx=4∫0π/2f(sinx)dx；求∫0π2xsinx/(3sin2x+4cos2x)dx．

设f(x)为连续函数，证明：∫0πf(sinx)dx=π/2∫0πf(sinx)dx=π∫0π/2f(sinx)dx；证明：∫02πf(｜sinx｜)dx=4∫0π/2f(sinx)dx；求∫0π2xsinx/(3sin2x+4cos2x)dx．

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问题 设f(x)为连续函数，证明：∫0πf(sinx)dx=π/2∫0πf(sinx)dx=π∫0π/2f(sinx)dx；证明：∫02πf(｜sinx｜)dx=4∫0π/2f(sinx)dx；求∫0π2xsinx/(3sin2x+4cos2x)dx．
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考研数学三

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