How do I solve the following integral <msubsup> &#x222B;<!-- ∫ --> <mrow class="MJX-TeXAt

Gauge Terrell

Gauge Terrell

Answered question

2022-07-04

How do I solve the following integral 0 exp ( x ) 2 k x exp ( t 2 2 ) d t d x

Answer & Explanation

Mateo Carson

Mateo Carson

Beginner2022-07-05Added 15 answers

Integrate by switching the order
0 e x 2 k x e 1 2 t 2 d t d x = 0 e 1 2 t 2 0 1 2 k t 2 e x d x d t = 0 ( e 1 2 t 2 e 1 2 ( 1 + 1 k ) t 2 ) d t = π 2 ( 1 k 1 + k )

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