Question

How would I find the length of the curve?

Answer 1

Find the length of the curve defined by\[y=x^{3/2}\] from x=0 to x=4. I keep getting 3 but I think it's wrong.

Answer 2

why don't you show what you tried

Answer 3

\[\int\limits_{0}^{4}\sqrt{1+\frac{ (3\sqrt{x})^2 }{ (2)^2 }}\] For some reason it wont let me show the whole thing squared

Answer 4

\[\int\limits_{0}^{4}1+\frac{ 3\sqrt{x} }{ 2 }\] and I got 3

Answer 5

that last line is not correct

Answer 6

\[\sqrt{1+a^2}\neq 1+a\]

Answer 7

but sqr(1) = 1

Answer 8

so

Answer 9

for example

\[\sqrt{1+2^2}=\sqrt{5}\]
\[1+2=3\]

\[\sqrt{5}\neq 3\]

Answer 10

Then is it \[\sqrt{10}-1?\]

Answer 11

for the answer

Answer 12

no

Answer 13

But wouldn't it be \[\int\limits_{0}^{4}\sqrt{1+\frac{ 9x }{ 4 }}\]?

Answer 14

dx.....yes

Answer 15

ohh i forgot to integrate

Answer 16

How do I deal with the square root sign when it comes to immigration?

Answer 17

integration*

Answer 18

u-substitution

Answer 19

oh yeahh