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Mathematics Calculus Integrals, Lecture notes of Mathematics

Izmir Institute of TechnologyMathematics

Substitution Method-Undefined Integrals with Exercise

Typology: Lecture notes

2022/2023

Uploaded on 01/06/2023

mikealphatango
mikealphatango 🇹🇷

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Download Mathematics Calculus Integrals and more Lecture notes Mathematics in PDF only on Docsity!

MATH-141 Lecture Notes 04.01.2023 TOTAL AREA To find the. orea between the graph of y= fC and the. X-axts over the. interval “Caib]: 1) Subdivide Lob) at the zeros of f- 2) Tritegrate. £ over Gach subinterval 3) Add the absolute values of the jntegrals Ex: Lek fl O= x4 and GOO = GH. For each furchon Compute : a) the de fiatte. rategral over the intewol (22). b) the area between the. goph and X-axis qver ([-2/2J. 2 2 2 z 7x am 2)4yn [Xo_ a) [& 4 dx = [a4 ‘I {4c dds [4 ad ra ~ 32 + = 32 — 3 b) The area is = square units in beth cases: The de finite integral af fC) is neg etive » but the are is positive . Beocouse orea always @ Nonnegective quantity