4. Use the Corollary to the Integration Theorem to integrate the geometric series ∞ -Σt tn n=0 term by term from -x to x, where x € (-1, 1) to obtain a series for 1 1 Simplify your answer the form - In t = x 1+1). a₁ + a₁x + a₂x² + a3x³ + a₁x² + a5x5 + α6x6 + a7x² + ..., .6 where you find the numbers ao, a1, A2, A3, A4, A5, A6, and a7 (some of them are 0).

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