Recent content by Ayesh

Homework Statement An aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0 C. a) Determine resistivity b) Current density c) Total current d) Drift speed of the conduction electrons...

I just wanted to know if anybody had a trick to find the formula for the general term of a sequence. I can find some without troubles. But other like 1,0,1,0,1,0... I don't know how to find them. Thank you!

I would also like to have it explain to me but the website given is out of order.

I attached a file with what I have done, since I am very bad with latex code.

Homework Statement \int \frac {x}{x+ \sqrt {x+2}} The Attempt at a Solution I used the v-sub. I also did a long division. It gave me \int 2v-2- \frac {v}{v-1} + \frac {2}{v-1} My final answer 2x+2-2 \sqrt {x+2} -ln \sqrt {x+2} -1 +2ln \sqrt {x+2} -1 +c The final...

Thank you!

Homework Statement \intsinxcosx/sin^4x+cos^4x Homework Equations sin^2x=1/2-1/2cos(2x) cos^2x=1/2+1/2cos(2x) sinxcosx=1/2sin(2x) The Attempt at a Solution \int1/2 sin(2x)/(1/2-1/2cos(2x))^2 + (1/2 + 1/2cos(2x))^2 \int1/2 sin(2x)/1/2 + 1/2cos^2(2x) ...? Am I on...

Even though I corrected my du, I don't feel like I'm getting closer the answer... Thank you for trying to help the slow me!

Here is my new try: \intsinxcos3x/\sqrt{1+sin^2(x)} dx u=1+sin2x du=1/2 cos2x \intsinxcos2xcosx/\sqrt{1+sin^2(x)} \int1/2 sinxcosx/\sqrt{1+sin^2(x)} \int1/4 sin2x/\sqrt{1+sin^2(x)} \int1/4 2u/\sqrt{u^1/2} \int1/2 u1/2 1/3 u3/2 1/3(1+sin2x)3/2 I know something...

This is what I have done until now: \intx(arctanx)^2 dx 1/2 x2arctanx - integral 1/2x2(1/1+x^2) dx 1/2x2arctanx - 1/2 integral tan2t/1+tan2t *sec2t 1/2x2arctanx - 1/2 integral tan2t 1/2x2arctanx - 1/2 integral (sec2t - 1) dt 1/2x2arctanx - 1/2 integral (tant - t) dt ... ...

Now that I am trying your hints, I feel even more lost... Sorry. I cannot use trig identities since my powers are odd (this is what is written in my notebook). Well, I'll show you what I have done until now and then tell me if I am on the right way or not...

Thank you!

Thank you! Your explanations are very clear!

Thank you!

Homework Statement When I look at the equation, I see a trig integral. \intsinxcos3x/\sqrt{1+(sin^2)x} dx But the \sqrt{1++(sin^2)x} gets me confused. I could tranform it into cos2x if it was sin2x - 1 The Attempt at a Solution \intsinxcos3x/\sqrt{1++(sin^2)x} dx...