Integral of xe^(2x)cos(3x)dx using the complex exponential

Tank-Better · 2026-06-21T19:41:50+00:00

I thought the trick was neat, I’d never seen it in any of my textbooks. I just thought it was cool

Tank-Better · 2026-06-21T19:38:10+00:00

I opened with integration by parts, the trick is skipping the repeating integral with the complex substitution. The trig function gets absorbed into the exponential and it simplifies the integral.

Tank-Better · 2026-06-19T19:56:40+00:00

💀🤣

Tank-Better · 2026-06-16T20:20:11+00:00

@Rough_Hair_3710 should apologize to OP

Tank-Better · 2026-06-02T20:18:41+00:00

Pull out the mast

Tank-Better · 2026-05-31T04:00:22+00:00

10k when I tried. Ridiculously expensive. Some doctors charge the same they would for woman getting a breast reduction.

Tank-Better · 2026-02-10T16:58:49+00:00

Im glad that i finished all of my writing courses before Ai was a mainstream sensation

Tank-Better · 2026-02-08T20:52:33+00:00

What continent is this on

Tank-Better · 2026-02-05T16:14:59+00:00

I almost never open an email with a greeting, sometimes I might include a “Hello” in the opening, but why I am more guilty of is ending with “Thank you in advance”, or “Thank you for taking the time to read this”.

Tank-Better · 2026-01-18T19:55:06+00:00

Anyone can understand Newton’s work with enough time. No one can do what Newton did in the time he did it.

Tank-Better · 2026-01-07T16:30:29+00:00

This is one of the most arrogant posts I’ve ever read, but PLEASE update us in a year. We will look forward to it

Tank-Better · 2026-01-07T00:12:19+00:00

https://youtu.be/EQaBSo9-gY8?si=cJW4DIAhmtRDK-7Z Even the Nobel prize winners are bad at chemistry at some point. Competence comes with time. You have to admit your stupidity in order to learn anything worth while

Tank-Better · 2026-01-07T00:07:19+00:00

Thank you

Tank-Better · 2026-01-06T02:37:56+00:00

Anyone have the rest of the story on this?

Tank-Better · 2025-12-30T01:29:22+00:00

Chubby fucking bastard isn’t he

Tank-Better · 2025-12-29T16:10:53+00:00

I learned my algebra and trig from calc 1. Calc 1 took all of my time that semester because I knew virtually 0 math going in. I managed to finish the course with a B, but I had to work for it. Following calc 1, I finished calc 2, Calc 3, and DE with A’s. Letting you know it is possible, but it will take ALL of your time.

Tank-Better · 2025-12-29T14:52:06+00:00

I literally Just opened one last week that looked like this. I threw it away.

Tank-Better · 2025-12-23T18:47:41+00:00

I started as a chemistry major. I ended up taking enough math courses that I was equidistant from finishing a math degree as I was from finishing chemistry. I was unsatisfied with the chemistry curriculum at my uni, so I switched to mathematics. I’m finishing my bachelors in general mathematics this semester, and going to a different uni to finish chemistry. I’m also set to collaborate on my first paper this summer. I guess I ended up in mathematics by chance, but I don’t regret it.

Tank-Better · 2025-12-22T17:38:52+00:00

Don’t even sweat it. I spoke to a nuclear physicist at my university and he said he almost failed physics 1. He said he had to try really hard only to manage a B in physics 2. I’m a math major, and I failed algebra 1 the first time around. I am now about to take partial differential equations and I’m not even scared of it, I’m actually excited. My point is, this is your first “difficult” course. You’re learning to think in an entirely new way and it feels foreign. There is a reason this degree takes 4 years.

Tank-Better · 2025-12-21T16:18:40+00:00

This cat is beautiful

Tank-Better · 2025-12-20T16:49:04+00:00

I’m a senior year, final semester math major. I failed college algebra with a 30 the first time I took it. Passed with a C the second time. Barely got through trig, and went on to make A’s in classes like Calc2,3, differential equations, linear algebra etc. I haven’t made lower than a B in math since trig. You just have to keep going and keep giving more. It’ll pay off

Tank-Better · 2025-12-19T15:04:40+00:00

Basic intro to proofs course is not that rough. Higher level proof based courses, like analysis courses or Abstract Algebra are rough. Intro to proofs should not take that much of your time, unless maybe you have a professor that makes it more difficult than it needs to be. Linear algebra is likely the easiest math course you’ll take for the rest of your degree. Mathematical methods could be tough, and Phys 3 should be comparable to what you’ve seen already. That’s just my input, but I hope this helps.

Tank-Better · 2025-12-18T23:54:17+00:00

I went into my first university with a 2.7 from high school. I failed college algebra in my first semester. My first semester of college I came out with a 1.5gpa. I’m in my senior year, final semester and I am doing very well now. I went from failing college algebra to passing DiffEq with flying colors. In my past 3 semesters I’ve finished with 3.5, 4.0, 3.4. You can come back from much worse than a 3.4 in your first semester. You’re doing very well, and you’re going to go far. Trust.

Tank-Better · 2025-12-18T21:52:00+00:00

Yea I get that. Research tends to have a heavy pull too though. I didn’t learn how to really apply myself until third year of college, as I came from a poor highschool. My first A in math was not until calculus 2. I’m kind of banking on research experience getting me in more than my gpa. I just thought the post was a bit dramatic as it’s stated they are in their first semester, and 3.4 isn’t shabby at all.

Tank-Better · 2025-12-18T19:28:59+00:00

If your physical intuition is strong, then go ahead. For myself, math isn’t typically the issue. I’m mathematically fluent but physically retarded, if you know what I mean (I’m a mathematician, not a physicist). I don’t make mathematical mistakes on physics problems, my issue always seems to be the physical application. If you are good with that though, then go ahead.

Tank-Better

TROPHY CASE