(C) Use formula (6) with .
(B) Use formula (15) with .
(C) Use the Parts Formula. Let u = x, dv = e−xdx; du = dx, v = −e−x. Then,
(C) See Example 44.
(D) The integral is of the form .
(A) The integral has the form . Use formula (18), with u = ex, du =
ex dx.
(C) Let u = ln v; then . Use formula (3) for .
(E) Hint: ln = ln x; the integral is
(B) Use parts, letting u = ln x and dv = x^3 dx. Then du = dx and .