k is the last two digit of your student ID (For example; if student ID=110060109 k-09) Question Evaluate the following integral: (1- exp(-k* x))dr by; (a) analytically, (b) single application of the trapezoidal rule (sampling time(dx)=4), (c) composite trapezoidal rule (sampling time(dx)=2), (d) single application of Simpson's 1/3 rule (sampling time(dx)=4), (e) composite Simpson's 1/3 rule with (sampling time(dx)=2), (f) single application of Simpson's 3/8 rule (sampling time(dx)=4), (g) composite Simpson's 3/8 rule (sampling time(dx)=2). Initial integral value is zero. Trapezoidal rule f(a) + f(b) f(b) – f(a) x). b - a 1 = (b - a)' a)

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