Question

if the integral from1-3 of f(x)dx=5 and the integral from 5-1 or f(x)dx=2 find the integral from 3-5 of f(x) dx

Answer 1

\[\int\limits_{1}^{3} f(x) dx =5 and \int\limits_{1}^{5}f(x)dx =2 find \int\limits_{3}^{5}f(x)dx\]

Answer 2

Remember that: \[
\int\limits_{a}^{b} f(x) dx =\int\limits_{a}^{c} f(x) dx + \int\limits_{c}^{b} f(x) dx
\]

Answer 3

IN this case, a is 1, c is 3, and b is 5

Answer 4

so =1 b=3 c=5? maybe?

Answer 5

Just be consistent

Answer 6

so wouldn't it just be 5-3? lol I don't get it

Answer 7

Okay, pick what you want a, b, and c to be...
Then plug them into that formula I wrote.

Answer 8

\[\int\limits_{1}^{5} f(x0 dx = \int\limits_{1}^{3}f(x)dx +\int\limits_{3}^{5}f(x)dx\]

Answer 9

You might have to use \[
\int\limits_{b}^{a}f(x)dx = -\int\limits_{a}^{b}f(x)dx
\]

Answer 10

what I get from this is \[-3=\int\limits_{3}^{5}f(x)dx\]

Answer 11

this is just like
2=x+5

you need to find x !

\[\Large \int\limits_{1}^{5} f(x)=\int\limits_{1}^{3}f(x)+\int\limits_{3}^{5}f(x)\]