Find the Taylor Series About $x = 0$ For the Indefinite Integral

question 19

Multiple Choice

Find the Taylor series about $x = 0$ for the indefinite integral $\int \frac { x } { 1 - 5 x ^ { 2 } } d x$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { 5 ^ { 2 n } } { 2 n } x ^ { 2 n }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { 5 ^ { n } } { 2 n + 2 } x ^ { 2 n + 2 }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { 5 ^ { n } } { 2 n } x ^ { 2 n }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { 5 ^ { n } } { 2 n + 1 } x ^ { 2 n + 1 }\)

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