Calculus convergence example problem

1. Show that the integral converges for all values of a < 0. ∞ ∫ e^ax cos x dx 0 Solution: ∞                                          t ∫ e^ax cos x dx  =      limit  ∫ e^ax cos x dx 0                                 t->∞ 0 t = limit  ∫  e^ax d (sinx) t->∞  0 Applying integration by parts, ∫e^ax cosx dx   =  […]

Continue reading