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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?

length-of-the-curve

asked Feb 9, 2013 in CALCULUS by mathgirl Apprentice

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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.

Integrals with roots

answered Feb 9, 2013 by richardson Scholar

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