for the function f(x) = 6 - x^2 in [-2, 2], i) Use 8 left rectangles to estimate the area ii) Use 8 right rectangles to estimate the area iii) now use Riemann sum with the limit as n >> inf to find the exact area enclosed by the curve, above x-axis and between [-2, 2] Check answer with calculator

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need help solving this definite integral or area & distance problem described in the image below

for the function f(x) = 6 - x^2 in [-2, 2],
i) Use 8 left rectangles to estimate the area
ii) Use 8 right rectangles to estimate the area
iii) now use Riemann sum with the limit as n >> inf to find the exact area enclosed by the curve,
above x-axis and between [-2, 2] Check answer with calculator
Transcribed Image Text:for the function f(x) = 6 - x^2 in [-2, 2], i) Use 8 left rectangles to estimate the area ii) Use 8 right rectangles to estimate the area iii) now use Riemann sum with the limit as n >> inf to find the exact area enclosed by the curve, above x-axis and between [-2, 2] Check answer with calculator
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