CHAPTER 19
Antiderivatives (Indefinite Integrals)
19.1
Evaluate $ (g(x)Yg'(x) dx.
where C is an arbitrary constant.
19.2
Evaluate J x
r dx for r ^ — I.
sinceDz(x'+l) = (r+!)*'.
19.3
Find $(2x
3 -5x
2 + 3x + l)dx.
19.4
Find
19.5
Find
19.(
Evaluate
19.7
Find
19.8
Find
19.9
Find
19.10
Find
142
By the chain rule, ,x((g(X)Y+1) = (r + l)(g(X)Y-g'(X)Hence