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Kyle Sutton

Kyle Sutton

Answered question

2022-07-05

solve this
3 x 5 sin ( t 2 ) d t
I tried to do it and got 5 x 4 sin ( x 2 ), but the correct answer is 5 x 4 sin ( x 10 ). Where did the x 10 come from?

Answer & Explanation

lofoptiformfp

lofoptiformfp

Beginner2022-07-06Added 16 answers

Write 3 x 5 sin ( t 2 ) d t = F ( x 5 ) F ( 3 )
F being an antiderivative of f ( t ) = sin ( t 2 ) on R
(note that F ( t ) = sin ( t 2 ) )
PS:
d d x ( 3 x 5 sin ( t 2 ) d t ) = d d x ( F ( x 5 ) ) = 5 x 4 F ( x 5 ) = 5 x 4 sin ( ( x 5 ) 2 ) = 5 x 4 sin ( x 10 )

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