Since light emitted farther away from our point in the universe is more and more red shifted, would this mean that at a certain time we wouldn't be able to observe light further than a fixed distance since it's been red shifted beyond the electromagnetic spectrum?
∫1+sinx/(cosx)² dx
I made u = cos x.
du = -sinxdx
-du = sinxdx
so:
∫1+sinxdx/(cosx)² = ∫1-du/u² = ∫ (1/u²) * (1-du)
This is where I got stuck. the 1-du is throwing me off. distributing would get me nowhere and I don't know how to get rid of the 1.
Please help!
the integral and derivative of e^x is e^x itself.
I was told that the derivative and integral of e to the ANYTHING power is e to that something power, meaning that:
∫(e^(6x+4x²+5y³))dx is e^(6x+4x²+5y³)
and
d/dx(e^(6x+4x²+5y³)) is e^(6x+4x²+5y³)
However I recently saw an equation...