- #1

- 42

- 3

I've always had this question in my mind: Can we convert the non-linear function into a system of linear functions?

I don't know if this is actually something exist in math (I searched a little bit to be honest), but I'm really interested in this question because it would make integral much easier ( and probably other things).

for example:

##\int_{}^{}\left(x^2\pm{k}\right)^n## where ##n## , ##k## are integers

If we could just decrease the power of ##x^2## into the first degree, it would be much easier to find rather than using trig substitution.