What is the arc length of f ( x ) = − x sin ⁡...

doturitip9

doturitip9

Answered

2022-07-03

What is the arc length of f ( x ) = x sin x + x cos ( x π 2 ) on x [ 0 , π 4 ]?

Answer & Explanation

Yair Boyle

Yair Boyle

Expert

2022-07-04Added 10 answers

Explanation:
The arc length of f ( x ) , x [ a , b ] is given by:
S x = b a f ( x ) 1 + f ( x ) 2 d x
f ( x ) = x sin x + x cos ( x π 2 ) = x sin x + x sin x = 0
f'(x)=0
Since we just have y=0 we can just take the length of s straight line between
0 π 4 w h i c h i s π 4 0 = π 4

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