Solve the following indefinite integrals a intx3dx b int 3 x

Solve the following indefinite integrals:

(a) int(x?3)dx
(b) int (?3 x2 + x?x)dx

(c) int(sec?tan??2e?)d?

Solution

(a) int(x?3)dx

= x^2/2 - 3x +c

(b) int (?3 x2 + x?x)dx

?3 * x^3/3 + x^(5/2) / (5/2) + c

= x^3/?3 + 2x^(5/2) / 5 + c

(c) int(sec?tan??2e?)d?

= sec ? - 2e^(?) + c