HELP ME PASS CALCULUS CLASS PLS - THERE IS A PART ONE WITH AN INAPPROPRIATE ANSWER PLS HELP ME
Accepted Solution
A:
For the first question, the region is a bit ambiguous. [tex]x[/tex] and [tex]x^3[/tex] intersect three times, and there are two regions between them. So either you're approximating
with respective midpoints of [tex]\dfrac18,\dfrac38,\dfrac58,\dfrac78[/tex]. The length of each interval is [tex]\dfrac14[/tex]. Note that I'm also assuming you are supposed to use equally spaced intervals.
Skipping the second one since I already answered it.
For the third, split up the region of integration at some arbitrary constant [tex]c[/tex] between [tex]2x[/tex] and [tex]5x[/tex], then differentiate and apply the fundamental theorem of calculus.