Calculus Trapezodial and Riemann Sums Handout

# Calculus Trapezodial and Riemann Sums Handout - ﬂ...

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Unformatted text preview: ﬂ+ra;2&2.oid : h I+b 1‘) Nmﬂmibemgm TRAPEZOIDAL AND RIEMANN SUMS HANDOUT 1. Find the area under the given graph of y r- 1:2 using 3 (LBJ-ism g a Tragezoidal Sum. i ‘rZLOUN-i) = #12- ! mww er; a Mammy—‘6’; -J. _qz 2. Fiﬁd the area under the given graph of @using 6 subintervals over [0,3] using a Trapezoidal Sum. Gité)(0"’¢):ﬁ @Jicéyiw 0 «T5; @éﬁéXHQI‘iVig‘ @ﬁétﬂiﬁi LI Vii; ‘ m E “ﬁ(%)g%+1§>“% i' “gr-42"" __ L95 ’[email protected]@(-4§3é*if*+ q )” "TE iLHg :73 H9 3 =q—'E UC‘i’QCti 73C] 3. Find the area under the given graph of y = 4 4x2 using 4 subintervals over [0,2] using a Trapezoidai Sum. inmm+%3:% Z w a m - a 7 2:"._—-—- ﬁg itéQCe ‘q > ah ,1 P‘a-N i g .7 "'1'- f? (iUEWM'ﬁ *0) W 3 TYPES OF RIEMANN SUMS 1. V) s 3h ’5.“ Warm i. 1‘25 H) 2. L8H ham in H) 3. M \O’QOI hi“ UT?) Riemann Sums are based on ﬁnding the summation of the areas of rectangles. 4. Find the area under the given graph of y = x2 Isu'l'ziiiﬁervalsiover [0,3] using Sum. 333 {i'ﬁii"‘3="5-i ® LOUD”! USU?) Ci M I H 1* 5. Find the area under the given graph of y : x2 using 3 snbintervals over [0,3] using a Left-Hand Riemann Sum. ® iBO‘ZO 6. Find the area under the given graph of y ; 3:2 using 3 subintervals over [0,3] using a Midpoint Riemann Sum. ...
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