For the function, do the following. f(x) = 1/x from a = 1 to b = 4. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in this example, rounding to three decimal places. _______ square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem. _____ square units
For the function, do the following. f(x) = 1/x from a = 1 to b = 4. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in this example, rounding to three decimal places. _______ square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem. _____ square units
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.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 11E
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For the function, do the following.
f(x) = 1/x from a = 1 to b = 4.
(a)
Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in this example, rounding to three decimal places.
_______ square units
(b)
Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.
_____ square units
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