7. Write and simplify the integral that gives the arc length of the curve y = cos x for -2 ≤ x ≤7. Then use a midpoint Riemann sum with n = 50 to approximate the length of the curve. Round your answer to four decimal places. The arclength formula is L= = [√I + f'(x)²dr.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. Write and simplify the integral that gives the arc length of the curve y = cos x for -2 ≤ x ≤7.
Then use a midpoint Riemann sum with n = 50 to approximate the length of the curve. Round your
answer to four decimal places. The arclength formula is L=
= [₁ √₁ + f(x)² dr.
Transcribed Image Text:7. Write and simplify the integral that gives the arc length of the curve y = cos x for -2 ≤ x ≤7. Then use a midpoint Riemann sum with n = 50 to approximate the length of the curve. Round your answer to four decimal places. The arclength formula is L= = [₁ √₁ + f(x)² dr.
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