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Approximate int_3^6 (1)/(x^(2)) using the midpoint rule with n=3 (Don t use the fundamental theonem) Just express lim_(n->infty )sum_(i=1)^n (3lnx_(i)-4x_(i)^(7)+2x_(i)^(3)cosx_(i))Delta x as an integral on
Approximate
\\\\int_3^6 (1)/(x^(2))
using the midpoint rule with
n=3
(Don
t
use the fundamental theonem)\ Just express
\\\\lim_(n->\\\\infty )\\\\sum_(i=1)^n (3lnx_(i)-4x_(i)^(7)+2x_(i)^(3)cosx_(i))\\\\Delta x
as an integral on
-2,5
(Don' integrate)\ Find the area of the region bounded above by
y=x^(2)+5
, bounded below by
y=(1)/(2)x-2
, and bounded on the sides by
x=0
and
x=5
.\ Provide a formula for the volume of a hemisphere (half of a sphere) using the integration method. Do the calculation directly, not by finding the volume of a sphere and dividing it by 2
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