A particle moves along the x-axis so that at any time t > 0, its acceleration is given by a(t) = . If the velocity of the particle is 2 at time t = 1, then what is the velocity of the particle at time t = 2
I know what to do but i need help.
I know I have to take the integral of a(t) =
But i dont know how to evaluate:
integral ln(1+2^x) - Wolfram|Alpha
wolf fram alpha found the integral but it doesnt do me any good because it comes out all funky
In the previous post we are arrived to the identity...
(1)
Now for is...
(2)
... and we can apply the following integration rules...
(3)
... and the well known series expansion...
(4)
... to arrive at the result...
(4)
The series in (4) for and has very fast convergence so that using (4) the numerical computation of integral (1) is not to hard ...
Kind regards