(A) Use Series to Compute $\int _ { 0 } ^ { 1 } x \cos x d x$

Short Answer

(a) Use series to compute $\int _ { 0 } ^ { 1 } x \cos x d x$ correct to three decimal places.(b) Use integration by parts to compute $\int _ { 0 } ^ { 1 } x \cos x d x$ .(c) Compare your answers in parts (a) and (b) above.