Question

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integrate tan x dx

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Answer 1

Answer:

tan x = - ln|cos x| + C.

Proof. Strategy: Make in terms of sin's and cos's; Use Substitution. tan x dx = sin x COs x. dx. set. u = COs x. ...

Alternate Form of Result. tan x dx = - ln |COs x| + C. = ln | (COs x)-1 | + C. = ln |sec x| + C. Therefore: tan x dx = - ln |COs x| + C = ln |sec x| + C.

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