OKComputer
New member
- Joined
- Sep 13, 2014
- Messages
- 3
Hello again, my homework is about 100 exercises and thanks to Stapel and Ishuda I could solve a big block of exercises that were similar to the one I asked for help.
Now I'm on the last page (18 exercises) and I have solved almost 5 (those are more difficult) but I have noticed and there are a few that are pretty similar and I don't know how to solve them, but if I get some kind of explanation then I will be able to understand and therefore finish these exercises.
Here are the ones I have doubts with:
\(\displaystyle \mbox{1. }\, \displaystyle{\int\, \frac{\arcsin\left(x^{1/2}\right)}{(1\, -\, x)^{1/2}}\, dx}\)
\(\displaystyle \mbox{2. }\, \displaystyle{\int\, \left[\left ( \frac{x\,-\,1}{x\, +\, 1} \right )^{1/2}*\left ( \frac{1}{x^2} \right )\right]\, dx}\)
\(\displaystyle \mbox{3. }\, \displaystyle{\int\, \frac{e^{2x}}{\left(e^x\, +\, 1\right)^{1/2}}\, dx}\)
That's all, thank you very much for your help! Sorry if I'm posting too often is only that I really want to learn calculus as I'm studying Systems Engineering and I'm having a hard time with calculus (differential and integral) but I'm doing my best to develop myself into these areas.
Now I'm on the last page (18 exercises) and I have solved almost 5 (those are more difficult) but I have noticed and there are a few that are pretty similar and I don't know how to solve them, but if I get some kind of explanation then I will be able to understand and therefore finish these exercises.
Here are the ones I have doubts with:
\(\displaystyle \mbox{1. }\, \displaystyle{\int\, \frac{\arcsin\left(x^{1/2}\right)}{(1\, -\, x)^{1/2}}\, dx}\)
\(\displaystyle \mbox{2. }\, \displaystyle{\int\, \left[\left ( \frac{x\,-\,1}{x\, +\, 1} \right )^{1/2}*\left ( \frac{1}{x^2} \right )\right]\, dx}\)
\(\displaystyle \mbox{3. }\, \displaystyle{\int\, \frac{e^{2x}}{\left(e^x\, +\, 1\right)^{1/2}}\, dx}\)
That's all, thank you very much for your help! Sorry if I'm posting too often is only that I really want to learn calculus as I'm studying Systems Engineering and I'm having a hard time with calculus (differential and integral) but I'm doing my best to develop myself into these areas.
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