Recent content by exo

if we divide both the numerator and the denominator by \frac{1}{cos^{2}x} the integral becomes \displaystyle\int_{0}^{\frac{\pi}{4}} \frac{sec^{2}x}{1+2tan^{2}x} dx We can make the substitution t = tan(x) I guess you can solve the first one by making the sub u = \sqrt{x} and then using...

This is a differential binomial.It's an expression of the type x^{m}(a+bx^{n})^{p}dx In your case that becomes x^{1/3}(1+7x)^{1/3}dx If \frac{m+1}{n} is an integer you can make the substitution u = ax^{n}+b If \frac{m+1}{n}+p is an integer you can make the substitution u = a+bx^{-n} In all...

Guess I am going to give it a go.You can set it up as \displaystyle\int^{\infty}_{-\infty}\int^{\infty}_{-\infty}e^{-8x^{2}-8y^{2}}dxdy Now this can be rewritten as \displaystyle\int^{\infty}_{-\infty}e^{-8y^{2}}\int^{\infty}_{-\infty}e^{-8x^{2}}dxdy If we label the original integral...

You can try setting it up as a double integral and doing it in polar coordinates.

Weird Al parodies always crack me up.

I took an Electricity & Magnetism course at the university, now I am looking for a good book on Electrodynamics to further deepen my knowledge on the subject.Can you give me any suggestions, I think I saw a copy of Electromagnetic Fields and Waves by Lorrain & Corson in the library, what are...

I was actually going to make a thread like this I have this strange professor at the university who claims that if we don't have a high IQ we better start doing something else( my major is electrical engineering).I never believed that human intelligence can be determined by a single number and...

Hello I just finished my second year at university, my major is electrical engineering.I took classical mechanics and electricity & magnetism and I really liked them.Do you think I can handle Landau and Lifschitz books on theoretical physics.I am concerned about the mathematics in the books, at...