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Find the length of the curve y=7x^2 from x=0 ; x=5?

+3 votes
find the length of the curve y=7x^2 from x=0 ; x=5?
asked Feb 9, 2013 in CALCULUS by mathgirl Apprentice

1 Answer

+2 votes

y = 7x2 from x = 0; x = 5

The length is s=ʃ√[1+(dy/dx)2]dx.

y = 7x2

Apply derivative each side.

(dy/dx) = 14x.

s = ʃ√[1+(14x)2]dx.

s = ʃ√[12+(14x)2]dx from x=0 to x=5.

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Integrals with roots

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answered Feb 9, 2013 by richardson Scholar

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