How do I solve the following integral ∫ 0 ∞ exp ⁡ ( − x...

Gauge Terrell

Gauge Terrell

Answered

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

Expert

2022-07-05Added 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 )

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?