Question

What is the arc length of x^(3/2) on the interval [2,3]... having trouble any help ?

Answer 1

\[\int\limits_a^b \sqrt{1+f'(x)^2} \, dx\]
f'(x)=\[\frac{3 \sqrt{x}}{2}\]
\[f'(x)^2=\frac{9 x}{4}\]
\[\int\limits _2^3\sqrt{1+\frac{9 x}{4}}\text{dx}\]

Answer 2

\[\int\limits _2^3\sqrt{\frac{(4+9 x)}{4}}\text{dx}\]

Answer 3

\[\frac{1}{2}\int\limits _2^3\sqrt{(4+9 x)}\text{dx}\]

Answer 4

shouldnt that be (1/4)

Answer 5

nevermind

Answer 6

still cant

Answer 7

Just use U-Sub