find ∫ p ( x ) d x where: p ( x ) = e...

Kenya Leonard

Kenya Leonard

Answered

2022-07-19

find p ( x ) d x where: p ( x ) = e x 2 2 2 π .

Answer & Explanation

Marisa Colon

Marisa Colon

Expert

2022-07-20Added 18 answers

We can integrate the Maclaurin Series term by term as follows.
2 0 1 1 2 π n = 0 ( x 2 2 ) n n !
2 π n = 0 0 1 ( 1 ) n x 2 n 2 n n !
2 π n = 0 ( 1 ) n x 2 n + 1 2 n n ! ( 2 n + 1 ) | 0 1
2 π n = 0 ( 1 ) n 2 n n ! ( 2 n + 1 ) 0.682689492
From this series, we get an approximation of the true value.

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