To find the arclength of y = 2x²-1 from x = 0 to x = 4, which is the correct integral? 4 = Sº OL= OL= Ś 0 OL= = S₁ √1+ 4x²dx L= S OL= √1+16xdx OL= Now that you have the correct integral, use the substitution u = 4x to re-write the integral in terms of u. Which is the correct result? 16 OL= COL= √1 + 4xdx 1 1 √1+16x²dx 4 √1+ udu 16 √ √₁ √1+ 4udu 16 1 / ²√₁+2u²du 4 0 16 1/2 √²° √I + u²du 4 What is the value of the integral? Hint: Use a table or technology. You may enter a decimal approximation for your solution.

To find the arclength of y = 2x²-1 from x = 0 to x = 4, which is the correct integral? 4 = Sº OL= OL= Ś 0 OL= = S₁ √1+ 4x²dx L= S OL= √1+16xdx OL= Now that you have the correct integral, use the substitution u = 4x to re-write the integral in terms of u. Which is the correct result? 16 OL= COL= √1 + 4xdx 1 1 √1+16x²dx 4 √1+ udu 16 √ √₁ √1+ 4udu 16 1 / ²√₁+2u²du 4 0 16 1/2 √²° √I + u²du 4 What is the value of the integral? Hint: Use a table or technology. You may enter a decimal approximation for your solution.

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.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 34E

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