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$4-30$ Evaluate the integral. $$ \int \frac{x^{2}+1}{\left(x^{2}-2 x+2\right)^{2}} d x $$...

Question

$4-30$ Evaluate the integral. $$ \int \frac{x^{2}+1}{\left(x^{2}-2 x+2\right)^{2}} d x $$

$4-30$ Evaluate the integral. $$ \int \frac{x^{2}+1}{\left(x^{2}-2 x+2\right)^{2}} d x $$



Answers

Evaluate the integral.

$ \displaystyle \int \frac{x^2}{(3 + 4x - 4x^2)^{\frac{3}{2}}}\ dx $


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