2. Evaluate the following integrals: (a) f(3x³ + 2x² - 1)8(x-4)dx (b) 2₂4x²8(2x - 1)dx (c) In(x + 3) 8(x - 1) dx (d) f(r²r a + a²)8³ (-a)dt. Here, a is a fixed vector of magnitude a and the integral is over all space. (e) fr-21²8³ (57) dt. Here, V is a cube of side 2, centered on the origin, and b = 3x + 4ŷ.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Evaluate the following integrals:
(a) f(3x³ + 2x² - 1)8(x-4)dx
(b) 2₂4x²8(2x - 1)dx
(c) In(x+3) 8(x - 1) dx
(d) f(r²-ra + a²)8³ (ra)dt. Here, a is a fixed vector of magnitude a and the integral is
over all space.
(e) fv Ir-2128³ (5r)dt. Here, V is a cube of side 2, centered on the origin, and b = 3x + 4ỹ.
Transcribed Image Text:2. Evaluate the following integrals: (a) f(3x³ + 2x² - 1)8(x-4)dx (b) 2₂4x²8(2x - 1)dx (c) In(x+3) 8(x - 1) dx (d) f(r²-ra + a²)8³ (ra)dt. Here, a is a fixed vector of magnitude a and the integral is over all space. (e) fv Ir-2128³ (5r)dt. Here, V is a cube of side 2, centered on the origin, and b = 3x + 4ỹ.
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