Suppose that
3
∫ f(x)dx=1.
1
6
Find ∫ f(x)dx and
6
1
∫ f(x)dx
3
please provide step by step solution if possible so that I may learn how to do it
3
∫ f(x)dx=1.
1
6
Find ∫ f(x)dx and
6
1
∫ f(x)dx
3
please provide step by step solution if possible so that I may learn how to do it
-
There are two things you need to know
Rules for Definite integration:
Order of integration~ ∫f(x) (a to b)dx = - ∫(b to a)dx
Zero: ∫f(x)dx (a to a) = 0
So assuming I'm reading your questions right
6 1 3
∫ f(x) dx= 0 ∫ f(x)= - ∫ f(x) dx = -1 (substituting what we are given originally)
6 3 1
(Numbers go in order with their respective integrals) [Stupid formatting!]
Hope this is helpful!
Rules for Definite integration:
Order of integration~ ∫f(x) (a to b)dx = - ∫(b to a)dx
Zero: ∫f(x)dx (a to a) = 0
So assuming I'm reading your questions right
6 1 3
∫ f(x) dx= 0 ∫ f(x)= - ∫ f(x) dx = -1 (substituting what we are given originally)
6 3 1
(Numbers go in order with their respective integrals) [Stupid formatting!]
Hope this is helpful!