Answered: 43-44 Evaluate the integral and…

43-44 Evaluate the integral and interpret it as the area of a region. Sketch the region. T/2 ³. √5¹² | 0 43. sin x- cos 2x 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...

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Question

6.1: #43, please. Evaluate the integral and interpret it as the area of a region. Sketch the region.

Integration
41-42 Use calculus to find the area of the triangle with the given vertices.
41. (0,0), (3, 1), (1,2)
42. (2,0), (0,2), (−1,1)
Answer +
43-44 Evaluate the integral and interpret it as the area of a region. Sketch the region.
43.
44.
π/2
1
sin x- cos 2x dx
Answer+
L₁13-
32
-2* | dx
45, 46, 47, and 48 Use a graph to find approximate x-coordinates of the points of intersection o
given curves. Then find (approximately) the area of the region bounded by the curves.
45. y = x sin (x²), y = x¹, x>0

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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