Question

Definite Integral - need help with this one

Answer 1

\[\int\limits_{1}^{5}(1-x) dx\]

Answer 2

I have to use the limits of sums

Answer 3

@amistre64 can you help me on this one? Thanks

Answer 4

\[\int\limits_{1}^{5}(1-x) dx = \sum_{x=1}^{5}(1-x) \Delta x\]

Answer 5

I know my delta x is 4/n
but I am not sure how to find x
I thought it was
\[\frac{4i}{n}\]

Answer 6

your x is the start of your interval + the subdivisions of the rest of it added up

Answer 7

x = 1 + 4i/n

Answer 8

then as n moves towards infinity your inteval is chopped up into infintesimal bits

Answer 9

try this; spose x moves from 2 to 12

how would you write up an equivalent part for x

Answer 10

2+6i/n but I am guessing

Answer 11

think of it as \[I=[a,b]\]\[x=a+(b-a)\frac{i}{n}\]