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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 71E
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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
Transcribed Image Text: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
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