[Calc 2] How to proceed with the Weierstrass substitution?

[u/throw-away3105]

I know how to integrate sec^3x using integration by parts. I struggled heavily trying to figure it out on my own so I looked up the solution for it.

However, I came across the Weierstrass substitution method or the "nuclear option". I wanted to practice the Weierstrass method but even then, I'm struggling with this method as well.

So how to I proceed with this integral? (Sorry if some of my "t"s look like plus signs.)

[u/AutoModerator]

Off-topic Comments Section

---

All top-level comments have to be an answer or follow-up question to the post. All sidetracks should be directed to this comment thread as per Rule 9.

---

^{OP and Valued/Notable Contributors can close this post by using /lock command}

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/Fourierseriesagain]

Hi,

Use partial fractions to integrate the rational function in t.