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Пошаговое объяснение:

0]=\dfrac{1}{4}\int {\dfrac{1}{t} } \, dt=\dfrac{1}{4}lnt+C=\dfrac{1}{4}ln(x^4+1)+C" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Cint%20%7B%5Cdfrac%7Bx%5E3%7D%7Bx%5E4%2B1%7D%20%7D%20%5C%2C%20dx%20%3D%5Cint%20%7B%5Cdfrac%7B%5Cfrac%7B1%7D%7B4%7D%2A4%20x%5E3%7D%7Bx%5E4%2B1%7D%20%7D%20%5C%2C%20dx%20%3D%5Cdfrac%7B1%7D%7B4%7D%5Cint%20%7B%5Cdfrac%7B1%7D%7Bx%5E4%2B1%7D%20%7D%20%5C%2C%20d%28x%5E4%29%3D%5Cdfrac%7B1%7D%7B4%7D%5Cint%20%7B%5Cdfrac%7B1%7D%7Bx%5E4%2B1%7D%20%7D%20%5C%2C%20d%28x%5E4%2B1%29%3D%5C%5C%5C%5C%3D%5Bt%3Dx%5E4%2B1%3Bt%3E0%5D%3D%5Cdfrac%7B1%7D%7B4%7D%5Cint%20%7B%5Cdfrac%7B1%7D%7Bt%7D%20%7D%20%5C%2C%20dt%3D%5Cdfrac%7B1%7D%7B4%7Dlnt%2BC%3D%5Cdfrac%7B1%7D%7B4%7Dln%28x%5E4%2B1%29%2BC" title="\int {\dfrac{x^3}{x^4+1} } \, dx =\int {\dfrac{\frac{1}{4}*4 x^3}{x^4+1} } \, dx =\dfrac{1}{4}\int {\dfrac{1}{x^4+1} } \, d(x^4)=\dfrac{1}{4}\int {\dfrac{1}{x^4+1} } \, d(x^4+1)=\\\\=[t=x^4+1;t>0]=\dfrac{1}{4}\int {\dfrac{1}{t} } \, dt=\dfrac{1}{4}lnt+C=\dfrac{1}{4}ln(x^4+1)+C">

ответ:

пошаговое объяснение: незнаю