t) Find the area under y = -x² + 1x + 12 andabove the x-axis using Riemann sums.(a) This area is equal towhere a =(b) The Riemann sum for this integral isΣR=11+Sn·b• (-x² + 1x +12) dxaand b ==Σk=1k+(c) As a function of nSn=(d) The area is then A=Σ_1 k2.

Answered: Image /qna-images/answer/8b85e56b-71f8-4b85-99a4-be742123f381.jpg

Answered: t) Find the area under y = -x² + 1x +…

t) Find the area under y = -x² + 1x + 12 and above the x-axis using Riemann sums. ·b S² (-2²² + a and b = (a) This area is equal to where a = −x² + 1x + 12) dx

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.CR: Chapter 8 Review

Problem 11CR

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Question

t) Find the area under y = -x² + 1x + 12 and
above the x-axis using Riemann sums.
(a) This area is equal to
where a =
(b) The Riemann sum for this integral is
ΣR=11+
Sn
·b
• (-x² + 1x +12) dx
a
and b =
=
Σk=1k+
(c) As a function of n
Sn
=
(d) The area is then A
=
Σ_1 k2.

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