设f(x)是连续函数,求积分的值0-π/2 但是看不懂,麻烦写下过程 为何I=f(sinx)/(f(sinx)+f(cosx)=f(cosx)/f(sinx)+f(cosx) 然后2I=f(sinx)+f(cosx)/f(sinx)+f(cosx)就是这部看不懂,t=π/2-x,dx=-dt,那I=f(sinx)dx/(f(sinx)+f(cosx)=-f(
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![设f(x)是连续函数,求积分的值0-π/2 但是看不懂,麻烦写下过程 为何I=f(sinx)/(f(sinx)+f(cosx)=f(cosx)/f(sinx)+f(cosx) 然后2I=f(sinx)+f(cosx)/f(sinx)+f(cosx)就是这部看不懂,t=π/2-x,dx=-dt,那I=f(sinx)dx/(f(sinx)+f(cosx)=-f(](/uploads/image/z/12061084-4-4.jpg?t=%E8%AE%BEf%28x%29%E6%98%AF%E8%BF%9E%E7%BB%AD%E5%87%BD%E6%95%B0%2C%E6%B1%82%E7%A7%AF%E5%88%86%E7%9A%84%E5%80%BC0-%CF%80%2F2+%E4%BD%86%E6%98%AF%E7%9C%8B%E4%B8%8D%E6%87%82%2C%E9%BA%BB%E7%83%A6%E5%86%99%E4%B8%8B%E8%BF%87%E7%A8%8B+%E4%B8%BA%E4%BD%95I%3Df%28sinx%29%2F%28f%28sinx%29%2Bf%28cosx%29%3Df%28cosx%29%2Ff%28sinx%29%2Bf%28cosx%29+%E7%84%B6%E5%90%8E2I%3Df%28sinx%29%2Bf%28cosx%29%2Ff%28sinx%29%2Bf%28cosx%29%E5%B0%B1%E6%98%AF%E8%BF%99%E9%83%A8%E7%9C%8B%E4%B8%8D%E6%87%82%2Ct%3D%CF%80%2F2-x%2Cdx%3D-dt%2C%E9%82%A3I%3Df%28sinx%29dx%2F%28f%28sinx%29%2Bf%28cosx%29%3D-f%28)
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