Question

b) Also, integral value of 52 dx can written in composite form.2+cos (x)X3.5• dx +2 + cos (x)( 24c6dx = 1-dx2 + cos (x)2 + cos (x)Composite integral can be written separately in function form asCdt2 + cos (0)f1(x)) = ,fszteF2(x2) =dt2 + cos (1)When fl(xi) is expanded at x=-2 and 12(x) is expanded at X-3.5 with the taylor series, theoriginal integral value can be calculated as:dx - f1(x1 = 3.5) + 2(x2 = 5)2 + cos (x)XUsing composite integral form, calculate the integral value in the form "ffl+12" where f isthe integral value of 2 dx: Starting from the lowest term in Taylor series find your2+cos (x)approximate "f-f|(3.5)+(215)" values at the same order of taylor series expansion. Carry out7 iterations (from TSO to TS6). Show all your calculations during all iterations. Also, create atable to show part "a" and part

Answer 1

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