Question

Given the integral from [1,4] of f(x)dx=1, the integral from [2,4] of f(x)dx=5, and the integral from [1,6] of f(x)dx=6: find the integral from [4,6] of f(x)dx.

Answer 1

Try to interpret integral as area.

Answer 2

Okay. I would know what to do if I had an integral from [4,5] and [5,6] for example. I'd just add them up. But this is confusing me.

Answer 3

you may need to subtract

Answer 4

[1,4] + [4,6] = [1,6]
So how we can get integral over [4,6] ?

Answer 5

AH, ok. SO I would subtract [1,4] from [1,6] then.

Answer 6

Great :)

Answer 7

Thanks, watch.