Calculating <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d </mrow>

civilnogwu

civilnogwu

Answered question

2022-07-08

Calculating d d x 0 x e ( k t ) f ( t ) d t

Answer & Explanation

alomjabpdl0

alomjabpdl0

Beginner2022-07-09Added 12 answers

According to the fundamental theorem of calculus, if g : [ 0 , x ] R is continuous, then the function F : [ 0 , x ] R defined by
F ( x ) := 0 x g ( t ) d t
is differentiable on ( 0 , x ) , and F = f In this case, you have g ( t ) = e k t f ( t ) , g ( t ) = e k t f ( t ) , hence F ( x ) = e k x f ( x ) .\

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