The approximation of I = , tanx dx using composite Simpson's rule with n=5 is: 0.6165 0.6236 None of the choices 0.6158

Please solve this two exercise

Extracted text: The approximation of I = , tanx dx using composite Simpson's rule with n=5 is: 0.6165 0.6236 None of the choices 0.6158


Extracted text: Find a,b and c so that the quadrature formula has the highest degree of precision f(x)dx N af (0) – 2bf(1) + 3cf(2) a=1/3 b=- 4/3 c=1/3 a=1/3 b=4/3 c=1/3 a=1/3 b=2/3 c=-1/9 a=1/3 b=-2/3 c=1/9