QUESTION 4: (20 points) Perform the following integral on the left edge of the 4-node rectangular element. {R} = ({s(5,7)} dL (x=0, y=w) (E = -1, n = 1) (x = 1, y = ) (f=1, n=1) where, {S(6.n)} denotes all the shape functions expressed in a short matrix form. Use following shape functions in the natural coordinates- (0,0) S.-2-)(1-n); s; = (1+5)(1-n) s. - (1)(1+r); s.-4 (1-3)(1+n) (&=-1, n=-1) (x=0, y=0) (8 =1, n=-1) (x = 1, y=0) Note that the shape functions are not linear. QUESTION 4: (20 points) Perform the following integral on the left edge of the 4-node rectangular element. {R} = ({s(5,7)} dL (x=0, y=w) (E = -1, n = 1) (x = 1, y = ) (f=1, n=1) where, {S(6.n)} denotes all the shape functions expressed in a short matrix form. Use following shape functions in the natural coordinates- (0,0) S.-2-)(1-n); s; = (1+5)(1-n) s. - (1)(1+r); s.-4 (1-3)(1+n) (&=-1, n=-1) (x=0, y=0) (8 =1, n=-1) (x = 1, y=0) Note that the shape functions are not linear