Which of the following integrals represents the area of the region bounded by the curves y = x³ and y=√√x on the interval [0,1] ? [A] S₁ (√x - x³)dx [B] (√√x + x³) dx [E] ₁x5/dx [D] fx72dx S [C] S₁²(x³ -√√x) dx

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...
Question

Why is the answer A, and not C? Please show and explain.

Which of the following integrals represents the area of the region bounded by the curves
y = x³ and y=√√x on the interval [0,1] ?
[A] S₁ (√x - x³) dx
[D] ₁x¹/2dx
[B] S₁² (√x + x³) dx
[E] S₁x5/2dx
[C] S₁ (x³ - √x) dx
Transcribed Image Text:Which of the following integrals represents the area of the region bounded by the curves y = x³ and y=√√x on the interval [0,1] ? [A] S₁ (√x - x³) dx [D] ₁x¹/2dx [B] S₁² (√x + x³) dx [E] S₁x5/2dx [C] S₁ (x³ - √x) dx
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