Each of Problems 1 and 2 has the form f (x) dx.
(a) Evaluate each integral to obtain a family of functions.
(b) Find and graph the family member that passes through the point (0, 2). Call that function F(x).
(c) Find any x-values where f(x) is not defined but F(x) is.
(d) At the x-values found in part (c), what kind of tangent line does F(x) have?
1.

2.

Transcribed Image Text:

3 dx (2х — 1)45 3/5 x² dx (x³ – 1)3