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If x=f''(t)cost+f'(t)sint,y=-f''(t)sint+...

If `x=f''(t)cost+f'(t)sint,y=-f''(t)sint+f'(t)cost" then "int[((dx)/(dt))^2+((dy)/(dt))^2]^(1//2)` dt equals

A

`f'(t)+f''(t)+C`

B

`f''(t)+f'''(t)+C`

C

`f(t)+f''(t)+C`

D

`f'''(t)-f''(t)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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