Barrons AP Calculus

Example 4 __

is  integrated  most    efficiently by  using   formula (3) with    u   =   1   −   3x

and du = u′(x) dx = −3 dx.

Example 5 __

,   where   u   =   2x^3    −   1   and du  =   u

′(x) dx = 6x^2 dx; this, by formula (3), equals

Example 6 __

    where   u   =   1   −   x   and du

= −1 dx; this, by formula (3) yields

Example 7 __

Example 8 __