So what can you do for this integral?

[whatlifeforme]

Homework Statement

evaluate the integral.

Homework Equations

\displaystyle\int {\frac{1}{secx+tanx} dx}

The Attempt at a Solution

can i just do ln|secx + tanx| ??

 

[SammyS]

Homework Statement

evaluate the integral.

Homework Equations

\displaystyle\int {\frac{1}{secx+tanx} dx}

The Attempt at a Solution

can i just do ln|secx + tanx| ??

Probably not.

What's the derivative of ln|secx + tanx| ?

Added in Edit:

Write the tangent in terms of sine & cosine and the secant as the reciprocal of the cosine.

 

[Mark44]

Homework Statement

evaluate the integral.

Homework Equations

\displaystyle\int {\frac{1}{secx+tanx} dx}

The Attempt at a Solution

can i just do ln|secx + tanx| ??

No. You're making the same mistake you made in this thread: https://www.physicsforums.com/showthread.php?t=678488.

It is NOT TRUE[/color] that
$$ \int \frac{dx}{f(x)} = ln|f(x)| + C$$

The above is true only if f(x) = x, which is certainly not the case here.