CPM Homework Help : CALC3RD Problem 1-153

For $f(x) = 3x \cos(x)$ , approximate the area under the curve for $0≤x≤\frac { \pi } { 2 }$ using two different methods. If the actual area is approximately $1.712$ square units, which of your methods was most accurate? Analyze why that particular method was more accurate.

Graph:

First & Fourth quadrants, x axis scaled from 0 to 6, Continuous curve, starting at the origin, turning at the following approximate points: (1, comma 2), (3.5, comma negative 10), & (6, comma 20), passing through the x axis at (1 half pi, comma 0).

Hint:

Answers vary, but be sure to take into account the width of the rectangles and/or trapezoids.