∫{√x}⋅dx

I:=∫\limits_{0}^{x} {√{x}}⋅dx=?
s:=√x
ds=÷{dx}{2⋅√x}
2⋅{√x}⋅ds=dx
2⋅s⋅ds=dx
I=∫s⋅2⋅s⋅ds
I=2⋅∫s²⋅ds
I=2⋅∫s²⋅ds
I=2⋅÷{s³}{3}
I=2⋅÷{s³}{3}
I=2⋅÷{√x³}{3}
I=÷{2}{3}⋅√x³

Author: Danny (remove the ".nospam" to send)

Last modification on: Sat, 04 May 2024 .