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#### alane1994

##### Active member

- Oct 16, 2012

- 126

*Write the integral that gives the length of the curve.*

[tex]y=f(x)=\int_{0}^{4.5x} \sin{t} dt[/tex]

It was multiple-choice(multiple-guess).

[tex] \text{Choice A } L=\int_{0}^{\pi} \sqrt{1+4.5(\sin(x))^2}dx[/tex]

[tex] \text{Choice B } L=\int_{0}^{\pi} \sqrt{1+20.25(\sin(4.5x))^2}dx[/tex]

[tex] \text{Choice C } L=\int_{0}^{\pi} \sqrt{1+20.25(\sin(x))^2}dx[/tex]

[tex] \text{Choice D } L=\int_{0}^{\pi} \sqrt{1+4.5(\sin(4.5x))^2}dx[/tex]

The correct answer is B... any way to explain in everyday people speak?