it doesn't matter if it converges at -infinity you can just make the upper and lower bounds 0 to infinity and put a coefficient of 2 in front of the integrand
I think so but there really is no other answer at your level of calc (not to insult you). Even if you used the taylor polynomial you can never get it to fit the entire graph, you can get really really close but never perfect. I haven't tried but i don't think that a series would help here anyways
If you change your u=cos(x) and v'=x^-2 you can integrate it easier but you get to a point where you get the integral of sin(x)/x. Which if you don't know is Si(x). If you want to keep going you can use the taylor polynomial of sin(x) which is x-(x^3)/3!+(x^5)/5!-(x^7)/7!. It really keeps going...
Uniform Circular motion problem!
Homework Statement
A 235 m tall tower is built on the equator. Due to the rotation of the earth, how much faster does a point at the top of the tower move than a point at the bottom (in m/s)?
Homework Equations
v=w*r (w is omega)
The...
Homework Statement
When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 54 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 72 s to travel the same distance.
How long...