Problem Involving Integration by Parts
September 9th, 2022
Please see the attached file for the fully formatted problem involving the cosine function related to integration by parts.
A_n = l_-1^0 cos n pi t + l_0^1 t cos n pi t dt
= 1/n pi [sin n pi t]^n_-1 + 1 / n pi [t sing n pi t]^1_0 – 1/npi l_0^1 sin n pi t dt
= 0 + 0 + 1/(n^2pi^2)[cos n pi t]_0^1
= { 0 if n is even,
– 2/(n^2pi^2) if n is odd,
