Question

medal -> *Question in pic file below*

Answer 1

@amistre64

Answer 2

how do we calculate the area of a trap?

Answer 3

width times average height ....

Answer 4

assuming all the widths are equal, then delta x is constant and we have
\[\frac{\Delta x}{2}([f(a)+f(b)]+[f(b)+f(c)]+[f(c)+f(d)])\]
\[\frac{\Delta x}{2}([f(a)+2f(b)+2f(c)+f(d)])\]
\[\frac{\Delta x(f(a)+f(d))}{2}(f(b)+f(c)+...])\]
etc

Answer 5

the widths change in this one, 2 here, 3there, so you cant do a tidy sum like this so youll have to work each out on its own

Answer 6

lets organize the data, what are our widths of the subintervals?

Answer 7

afterwards determine your average heights per interval

multiply the widths by the heights and add them up ....