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Question Number 31543 by Cheyboy last updated on 09/Mar/18

$$\int \frac{x^3+x+1}{x^2+1}dx$$$$$$$$$$

Commented by prof Abdo imad last updated on 10/Mar/18

$$I=\int \frac{x(x^2+1)+1}{x^2+1}dx=\int xdx+\int \frac{dx}{x^2+1}$$$$=\frac{x^2}{2}+arctanx+\lambda .$$

Commented by Cheyboy last updated on 10/Mar/18

$$Thankyousir$$

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