Question

(a) Estimate the area under the graph of f(x)=7/x from x=1 to x=5 using four approximating rectangles and right endpoints.
(b) Repeat part (a) using left endpoints.

Answer 1

For the right endpoints would it just be
\[\frac{ 7 }{ 2 } +\frac{ 7 }{ 3 }+\frac{ 7 }{ 4 }+\frac{ 7 }{ 5 }\]
?

Answer 2

That looks right. Using the same mentality, what would part b) be?

Answer 3

Hmm... I think that's \[7+\frac{ 7 }{ 2 }+\frac{ 7 }{ 3 }+\frac{ 7 }{ 4 }\]
am I right?

Answer 4

Correct.

Answer 5

Thanks so much! :D

Answer 6

the only thing I would add..

Answer 7

or better word multiply by is...

Answer 8

oh the base which is (5-1)/4
which is 1 :)
so not really needed

Answer 9

Ohh right!

Answer 10

I was too lazy to type that in :P

Answer 11

but thanks!!!

Answer 12

but you didn't type it in because you knew you didn't need it
:)

Answer 13

True xD

Answer 14

Go you! :)

Answer 15

Haha thanks @freckles :D