(1– 2x)⁵

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Solution

By using Binomial Theorem, the expression (1– 2x)⁵can be expanded as

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(1 - 2 x)^{5}

Expand the expression (1– 2x)⁵

\int \frac{x^{7} + 2 x^{5} + x^{3} + 1}{x^{2} + 1} d x =

${lim}_{x \to 1} \frac{x^{7} - 2 x^{5} + 1}{x^{3} - 3 x^{2} + 2}$

{lim}_{x - 1} \frac{x^{7} - 2 x^{5} + 1}{x^{3} - 3 x^{2} + 2}

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