Question: Find a power series representation for a function from the representation of 1/ 1 - x . I can evaluate definite integrals using power series.

Find a power series representation for a function from the representation of 1/ 1 - x . I can evaluate definite integrals using power series.

(a) Find a power series representation for x^3 /1 + x .

(b) Use your answer to (a) to evaluate integral of x^3/ 1 + x dx.

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