Please help me solve the following integral
∞
∫ t^2 e^t Cost dt
0
I have been hinted that this integral can be solved using Laplace transform but I don't see any e^ -t in the integrand and if I assume e^t = e^-(-t) then the result become infinity. Please help.
Tabular integration may work well with this.
Now, add up the signed products of the diagonals.
Here's the graph.
The lower limit gives -1/2.
But, see what happens with the upper limit?. As LostChild stated, if that were then that is another matter.
If we had , then we would have a defintive solution.