trig definite integral

[Dorian Gray]

Greetings Mathworld!

I was wondering if somebody could please tell me the best way to address this problem (see picture). I am thinking about using a pythagorean identity for the top, but it would have to be modified, or should I divide out the cos^2 between the two terms. Please let me know what you think. Thank you!

 

[srmichael]

Greetings Mathworld!

I was wondering if somebody could please tell me the best way to address this problem (see picture). I am thinking about using a pythagorean identity for the top, but it would have to be modified, or should I divide out the cos^2 between the two terms. Please let me know what you think. Thank you!
View attachment 1892

Yes, break it up into sec^2(x) + 1. Then do the integration of each, separately. What is the integral of sec^2(x)?

 

[Dorian Gray]

thank you!

Thank you SrMichael! Is this what you were talking about?


I checked my answer, and it matches my answer key.

 

[srmichael]

Thank you SrMichael! Is this what you were talking about?View attachment 1893


I checked my answer, and it matches my answer key.

Yup!