Find the length, L, of the curve from x = 4 to x = 6. 6 L° √ ₁ + 1 (F(x)² dx L = 6 - [5 /17 (× ² + 1/12) dx = x²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Find the length, L, of the curve from x = 4 to x = 6.
*6
2
· √° √
+ (F'(x))².
L =
||
1 +
6
- [ ^ ³ (ײ + ¹ ) ∞*
=
dx
||
dx
6
DI.
X
Transcribed Image Text:Find the length, L, of the curve from x = 4 to x = 6. *6 2 · √° √ + (F'(x))². L = || 1 + 6 - [ ^ ³ (ײ + ¹ ) ∞* = dx || dx 6 DI. X
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