Idealist

Lv 7

# Help me with this math problem?

Find the arc length of f(x)=x^(3/2) on [0, 2].

Update:

Can anyone please check if my work is correct? If not, then please correct me and tell me the right answer. Please show all your work. Thanks.

### 2 Answers

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- Some BodyLv 71 year agoFavourite answer
Close. Your steps are correct, but you either need to find new limits corresponding to u, or substitute back the expression in terms of x before evaluating between 0 and 2.

u = 1 + 9/4 x

When x = 0, u = 1.

When x = 2, u = 11/2.

s = 8/27 [ (11/2)^(3/2) − (1)^(3/2) ]

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