Radam

Yes I am familiar with it. I'm not sure how I can reduce the square roots, enabling me to integrate.

https://imgur.com/a/ESsNm I have a rough idea on how to solve the second one, but I don't know if my method is correct. I used the shell method with the value (y+3) for the radius. But I have no clue how to solve the first question. https://imgur.com/a/zJdFw

I'm currently in my second year of college, majoring in biology. I don't live in the US but I eventually hope to transfer to a university there (or in Canada) next year. Recently though, I've been reading the experiences of many biology majors and a huge number of them actually regret getting a BSc in biology. I was initially thinking of getting my PhD after I'm done with my degree, but then I was told by many that they weren't satisfied and financially well-off, even. I'm also uncertain how I will finance the PhD program. I have a passion for physics and I decided biology over physics instead, but I don't know if I made the right choice. I haven't taken a physics class yet, so I would be very far behind if I wanted to switch majors. I've heard that CS is a pretty useful skill to adopt, but I don't have much of an interest in the field as a whole. I have a 4.0 gpa, so grades aren't a problem, but I feel like I may be putting in all this effort and then ending up wasting my time. Does anyone have any advice for me?

This may seem like a simple question. The obvious answer would be to read more books or to read more news articles. But I often find this to be hard for several reasons, I tend to lose interest in a particular book fairly quickly and I get bored whenever I read a news article in which the context goes over my head, for the latter, I essentially don't get the whole picture due to my gap in knowledge about a specific topic and that makes me lose interest. The most I would do these days is skim over a news articles, and then subsequently realising that I didn't pick up anything at all. I am the kind of person who has huge bursts of energy for a particular thing and refrain from going back to it after I lose this burst of energy. For example, at one point I was reading fairly in depth (more than the average person) about the Syrian civil war and I learnt a lot about the entire conflict. But after this energy was depleted I ended up not caring about the topic to even the tiniest extend, for example I wouldn't even read news articles about it. I don't remember much from my 'research', only fragments here and there, but I do suppose I can recall some of the finer details, if I were to embark on a train of thought concerning the topic at hand. I think this is a huge issue for me. I thought that college would make me more eager to learn about new things, but in fact it has done the exact opposite. For example, for any given day, I feel that my classes and assignments have me fulfil my "daily quota of knowledge" so I end up lazing around and not caring about learning more about the world (also bad because I do the same thing for studying). I'm doing fairly well in college with a 4.0 GPA, but I do not feel the least bit intelligent or knowledgeable particularly due to my laziness regarding learning new things. This intellectual imbalance is really bothering me quite a fair bit. My interest in various topics used to be sparked from reading threads on forums online, I'm hoping that I can rekindle the same mindset by lingering on the website. Does anyone feel the same way?