Question

Use finite approximations to estimate the area under the curve f(x) = sin(x) between 0 and x=pi using an upper sum with four rectangles of equal length

Answer 1

urrr reimann sum D:

Answer 2

Yes! but I am not sure how to do this with sin(x)!

Answer 3

Is this right?
dx = (b-a)/n dx = pi/4
area1 = (pi/4)(sin(pi/4) +
area2 = (pi/4)(sin(2pi/4)+
area3 = (pi/4)(sin(3pi/4) +
area4 = (pi/4)sin(pi)
?????????????
and if it is, now what? I know sin(pi/2) = 1 and sin(pi) = 0 but I don't know the other 2...