- #1
christian0710
- 409
- 9
Hi I'm a bit confused about some mathematical notation
If i write
f(x)=(2x^2 + 10)^4
And i define
u= 2x^2 +10
u^4 = f(x)
Would it then be correct to write
f(u)= u^4
Or would i get
f(u)= 2(u)^2 +10 = (2(2x^2 +10)+10)^2
Should i define u^4 = f(x) first? Would it then be correct?
My book writes that if u is a function of x then then you can put u into x and get the following.
∫f(u)du = F(g(x))
So I want to make sure I'm assuming correctly.
If i write
f(x)=(2x^2 + 10)^4
And i define
u= 2x^2 +10
u^4 = f(x)
Would it then be correct to write
f(u)= u^4
Or would i get
f(u)= 2(u)^2 +10 = (2(2x^2 +10)+10)^2
Should i define u^4 = f(x) first? Would it then be correct?
My book writes that if u is a function of x then then you can put u into x and get the following.
∫f(u)du = F(g(x))
So I want to make sure I'm assuming correctly.