evaluate the integral of e^tanx dx/cos^2 x

Asked on by bird-fly

1 Answer | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

Use the substitution tan x = p.

Differentiating, the result will be: `dx/(cos^2 x) = dp`


`int e^(tan x)dx/(cos^2 x) = int e^p dp = e^p + c`

Substitute back p = tan x

`int e^(tan x)dx/cos^2 x = e^(tan x) + c`

ANSWER: The result of integration is

`int e^(tan x)dx/(cos^2 x) = e^(tan x) + c`

We’ve answered 319,849 questions. We can answer yours, too.

Ask a question