is ln cosx and ln(tanx +secx) the same?

[fathom creek]

is the integral of 1/cosx = ln cosx and the integral of secx = ln(tanx + secx) the same thing?
basically is ln cosx = ln(tanx + secx)
?

[fathom creek]

I was wondering if these are the same because it is easier to just break down trig functions into easier parts

[limpid oak]

1/cosx does equal secx

but the integral of 1/cosx is not ln cosx

[fathom creek]

i see

ok thanks for the clarification

is there a specific process to getting the antiderivative of trig functions or do they have to be memorized?

[limpid oak]

for cos and sin u can memorize them

for sec(x) there is an interesting way I learned it, for tan(x) and cot(x) u can use u-sub