1. Let R be the region in the first quadrant under the graph of for x is greater than or equal to 0 and less and or equal to 2.
If the line x=k divides R into two regions of equal area, what is the value of k to the nearest .001?
I already know that the area of all of R=160. Do I have to integrate from 0 to k set to equal 80?(since the area is divided into two).
2. Let F(x)= (integral sign from 0 to x) sin (t^2)dt for x is greater than or equal to 0 and less than or equal to 3.
Use the trapezoid rule with four equal subdivisions of the closed interval [0,1] to approximate F(1).
It says that I need 4 equal rectangles, meaning I need 5 x and y values. My x values were 0, 1/4, 1/2, 3/4, and 1. But how do I use the given information to find y?