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4.
![y'=2xe^{x^2}+x^2*e^{x^2}*2x y'=2xe^{x^2}+x^2*e^{x^2}*2x](https://tex.z-dn.net/?f=y%27%3D2xe%5E%7Bx%5E2%7D%2Bx%5E2%2Ae%5E%7Bx%5E2%7D%2A2x)
![y'=2xe^{x^2}+2*x^3*e^{x^2} y'=2xe^{x^2}+2*x^3*e^{x^2}](https://tex.z-dn.net/?f=y%27%3D2xe%5E%7Bx%5E2%7D%2B2%2Ax%5E3%2Ae%5E%7Bx%5E2%7D)
![y'=2xe^{x^2}(1+x^2) y'=2xe^{x^2}(1+x^2)](https://tex.z-dn.net/?f=y%27%3D2xe%5E%7Bx%5E2%7D%281%2Bx%5E2%29)
5.
![intlimits^3_0 {(x^3-1)} , dx =( frac{x^4}{4} -x)|_0^3=(frac{3^4}{4} -3)-(frac{0^4}{4} -0)= frac{81}{4}-3= intlimits^3_0 {(x^3-1)} , dx =( frac{x^4}{4} -x)|_0^3=(frac{3^4}{4} -3)-(frac{0^4}{4} -0)= frac{81}{4}-3=](https://tex.z-dn.net/?f=+intlimits%5E3_0+%7B%28x%5E3-1%29%7D+%2C+dx+%3D%28+frac%7Bx%5E4%7D%7B4%7D+-x%29%7C_0%5E3%3D%28frac%7B3%5E4%7D%7B4%7D+-3%29-%28frac%7B0%5E4%7D%7B4%7D+-0%29%3D+frac%7B81%7D%7B4%7D-3%3D)
![=20,25-3= 17,25. =20,25-3= 17,25.](https://tex.z-dn.net/?f=%3D20%2C25-3%3D+17%2C25.)
5.
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