(B) Rewrite:
.
Using (3) yields .
(A) This is equivalent to .
(E) Rewrite as (2t^2 − 1)−1/2 · 4t dt. Use (3).
(D) Use (5) with u = 3x; du = 3 dx: cos (3x)(3 dx)
(A) Use (4). If
(D) Use (18). Let
(C) Rewrite as . Use (3) with n = −2.
(B) Rewrite as (1 + 4 x^2 )−1/2 · (8x dx). Use (3) with n = − .
Note carefully the differences in the integrands in Questions 10–13.