y=sqr(x+1)-1, x axis, line x=3, surrounded area volume.
Formulae V=S[a-b](integral) S(x) dx (condition a>b)
But I rested really long time, so I missed
S(Integral) x^α+1 dx = (1/ α+1)x^ α+1 + C
I have to master “various kind of functions of indefinite integral”
S(integral) f(ax+b)dx = 1/a F(ax+b) + C
Proof of elemental formulae …
Calculate like a machine …
This is from Japanese high school book for University Admission,
“Chart (White) 3+C 2008” P225, Standard Example 146.