Why does FTOC apply here, to find the derivative of <msubsup> &#x222B;<!-- ∫ --> <mrow

Poftethef9t

Poftethef9t

Answered question

2022-06-11

Why does FTOC apply here, to find the derivative of sin ( x ) π t cos ( t ) d t

Answer & Explanation

Ryan Newman

Ryan Newman

Beginner2022-06-12Added 26 answers

f is defined for t such that
t π 2 + k π
or
t R { . . . , 1.57 , 157 , . . . . }
For x R , we have
[ 0 , sin ( x ) ] [ 1 , 1 ]
and
π 2 1.57 [ 1 , 1 ]
f is continuous at [ 1 , 1 ] and consequently at [ 0 , sin ( x ) ]

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