![\int\frac{(3+7x^4)dx}{x}=3\int\frac{dx}{x}+7\int x^3dx=3ln|x|+\frac{7x^4}{4}+C](https://tex.z-dn.net/?f=%5Cint%5Cfrac%7B%283%2B7x%5E4%29dx%7D%7Bx%7D%3D3%5Cint%5Cfrac%7Bdx%7D%7Bx%7D%2B7%5Cint+x%5E3dx%3D3ln%7Cx%7C%2B%5Cfrac%7B7x%5E4%7D%7B4%7D%2BC)
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![\int(3x^3*e^{2-x^4})dx=-\frac{3}{4}\int e^{2-x^4}d(2-x^4)=-\frac{3}{4}e^{2-x^4}+C](https://tex.z-dn.net/?f=%5Cint%283x%5E3%2Ae%5E%7B2-x%5E4%7D%29dx%3D-%5Cfrac%7B3%7D%7B4%7D%5Cint+e%5E%7B2-x%5E4%7Dd%282-x%5E4%29%3D-%5Cfrac%7B3%7D%7B4%7De%5E%7B2-x%5E4%7D%2BC)
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![\int\frac{xdx}{\sqrt{3-x^4}}=\frac{1}{2}\int\frac{d(x^2)}{\sqrt{3-x^4}}=\frac{1}{2}arcsin\frac{x^2}{\sqrt3}+C](https://tex.z-dn.net/?f=%5Cint%5Cfrac%7Bxdx%7D%7B%5Csqrt%7B3-x%5E4%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Cint%5Cfrac%7Bd%28x%5E2%29%7D%7B%5Csqrt%7B3-x%5E4%7D%7D%3D%5Cfrac%7B1%7D%7B2%7Darcsin%5Cfrac%7Bx%5E2%7D%7B%5Csqrt3%7D%2BC)
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![\int (x^2sinx)dx=-x^2cosx+2\int xcosx=-x^2cosx+2xsinx+2cosx+C\\\\\\u=x^2=\ \textgreater \ du=2x\\dv=sinxdx=\ \textgreater \ v=-cosx\\\\\\\int xcosx=xsinx-\int sinxdx=xsinx+cosx\\p=x=\ \textgreater \ dp=dx\\dq=cosx=\ \textgreater \ q=sinx](https://tex.z-dn.net/?f=%5Cint+%28x%5E2sinx%29dx%3D-x%5E2cosx%2B2%5Cint+xcosx%3D-x%5E2cosx%2B2xsinx%2B2cosx%2BC%5C%5C%5C%5C%5C%5Cu%3Dx%5E2%3D%5C+%5Ctextgreater+%5C+du%3D2x%5C%5Cdv%3Dsinxdx%3D%5C+%5Ctextgreater+%5C+v%3D-cosx%5C%5C%5C%5C%5C%5C%5Cint+xcosx%3Dxsinx-%5Cint+sinxdx%3Dxsinx%2Bcosx%5C%5Cp%3Dx%3D%5C+%5Ctextgreater+%5C+dp%3Ddx%5C%5Cdq%3Dcosx%3D%5C+%5Ctextgreater+%5C+q%3Dsinx)
таймер для засечения времени
1)3 200:2=1 600(кг)-капусты собрали с другого поля.
2)3 200+1 600=4 800(кг)-капусты собрали с двух полей.
3)4 800:80=60(кг)-капусты грузили на каждую машину.