Question

Estimate integral of 12 to 0. 1/x+5 d x using a left-hand sum with n=3.

Answer 1

What are limits, 12 to what?

Answer 2

it says the integral limits are 12 to 0 i believe. it has the symbol and then it shows 1/x+5 d x . and then the left hand sum of n=3.

Answer 3

3((1/12 +5)+(1/8 +5)+(1/4 +5))

Answer 4

I evaluated the function at 12,8, and 4 and multiplied by thickness of 3

Answer 5

Here is the arithmethic
http://www.wolframalpha.com/input/?i=3((1%2F12%20%2B5)%2B(1%2F8%20%2B5)%2B(1%2F4%20%2B5))&t=crmtb01

Answer 6

how did you get the 8 and the 4?

Answer 7

We might have to stick negative since we are going from 12 to 0 as opposed to opposite

Answer 8

the answer was 1.552 though?

Answer 9

We start from 12 and go down by 4

Answer 10

but how'd they get 1.552 then?

Answer 11

I got 46.375