(a) Use the Trapezoidal Rule to approximate the given integral with the specified value ofn. (Round your answer to six decimal places.)

(b) Use the Midpoint Rule to approximate the given integral with the specified value ofn. (Round your answer to six decimal places.)

(c) Use Simpson's Rule to approximate the given integral with the specified value ofn. (Round your answer to six decimal places.)

I got a) 2.789267

b)1.581091

c)3.038070

my work:

a) T8= (1/8)*[ fourthroot(5+(1/4)^{2})+2*fourthroot(5+(1/2)^{2})+2*fourthroot(5+(3/4)^{2})+2*fourthroot(5+1)+2*fourthroot(5+(5/4)^{2})+2*fourthroot(5+(6/4)^{2})+2*fourthroot(5+(7/4)^{2})+fourthroot(9) ]

b)M8= (1/8)*[ fourthroot(5+(1/8)^2) +fourthroot(5+(3/8)^2)+fourthroot(5+(5/8)^2)+fourthroot(5+(7/8)^2)+fourthroot(5+(9/8)^2)+fourthroot(5+(11/8)^2)+fourthroot(5+(13/8)^2)+fourthroot(5+(15/8)^2) ]

c) S8=(1/12)*[ 0+ 4*fourthroot(5+(1/4)^{2})+2*fourthroot(5+(1/2)^{2})+4*fourthroot(5+(3/4)^{2})+2*fourthroot(5+1)+4*fourthroot(5+(5/4)^{2})+2*fourthroot(5+(6/4)^{2})+4*fourthroot(5+(7/4)^{2})+fourthroot(9) ]

Any help greatly greatly appreciated; this problem is driving me crazy.

Thanks!