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!
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...
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...
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...