Question

How do you find the antiderivative `4 + 4tan^2x`?

Answer 1

4tan x +C

4+4 `tan^2`x would be 4 (1 + `tan^2`x) or 4 `sec^2`x

Antiderivative of `sec^2` x is tanx. Hence the required answer would be 4tanx+C