Question

Evaluate the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) st tan(2x + 9)dx

Answer 1

1/2 ㏑(sec (2x + 9)) + c ........ absolute sec (2x +9)

Explanation:

∫tan (2x + 9) dx

let u = 2x + 9

du/dx = 2

dx = du/2 = (1/2) du

now we have ∫tan u (1/2 du)

= 1/2 ∫tan u du

= 1/2 ㏑ (sec u) ...... absolute

=1/2 ㏑(sec (2x + 9)) + c ........ absolute