Plz solve within 30min I vill give definitely upvote and vill give positive feedback 1. Let f: [1,6]→→ R be defined by f(x) = 2 + x² for 0 ≤ x ≤ 3 and f(x) = 4 - x for3< x≤ 6. Let P = {1,3,4,6}. Find L(f, P) and U(f, P).2. Let f [0, 1] → R be defined by f(x) = -4. Prove, directly from the definition, thatf is integrable.

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Answered: 1. Let f: [1,6] → R be defined by f(x)…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 24E

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1. Let f: [1,6] → R be defined by f(x) = 2 + x² for 0 ≤ x ≤ 3 and f(x) = 4-x for 3< x≤ 6. Let P = {1,3,4,6}. Find L(f, P) and U(ƒ, P). 2. Let f: [0, 1] → R be defined by f(x) = -4. Prove, directly from the definition, that f is integrable.