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Question Number 129788 by bramlexs22 last updated on 19/Jan/21

$$\int (1+3x^3)e^{x^3}dx$$

Answered by EDWIN88 last updated on 19/Jan/21

$$\mathrm{let}\mathrm{z}={xe}^{x^3}\Rightarrow dz=(e^{x^3}+x.\left(3x^2{e}^{x^3}\right))dx$$$$dz=(1+3x^3)e^{x^3}dx$$$$I=\int dz=z+c={xe}^{x^3}+\mathrm{C}$$

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