【急!求教一道高数题】若f(x)为连续函数,求证∫dx∫f(t)dt=∫【急!求教一道高数题】若f(x)为连续函数,求证∫<a,b>dx∫<a,x>f(t)dt=∫<a,b>(b-x)f(x)dx
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![【急!求教一道高数题】若f(x)为连续函数,求证∫dx∫f(t)dt=∫【急!求教一道高数题】若f(x)为连续函数,求证∫<a,b>dx∫<a,x>f(t)dt=∫<a,b>(b-x)f(x)dx](/uploads/image/z/4057573-13-3.jpg?t=%E3%80%90%E6%80%A5%21%E6%B1%82%E6%95%99%E4%B8%80%E9%81%93%E9%AB%98%E6%95%B0%E9%A2%98%E3%80%91%E8%8B%A5f%28x%29%E4%B8%BA%E8%BF%9E%E7%BB%AD%E5%87%BD%E6%95%B0%2C%E6%B1%82%E8%AF%81%E2%88%ABdx%E2%88%ABf%28t%29dt%3D%E2%88%AB%E3%80%90%E6%80%A5%21%E6%B1%82%E6%95%99%E4%B8%80%E9%81%93%E9%AB%98%E6%95%B0%E9%A2%98%E3%80%91%E8%8B%A5f%28x%29%E4%B8%BA%E8%BF%9E%E7%BB%AD%E5%87%BD%E6%95%B0%2C%E6%B1%82%E8%AF%81%E2%88%AB%26lt%3Ba%2Cb%26gt%3Bdx%E2%88%AB%26lt%3Ba%2Cx%26gt%3Bf%28t%29dt%3D%E2%88%AB%26lt%3Ba%2Cb%26gt%3B%28b-x%29f%28x%29dx)
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