Since it is not given, we will assume the interval to be [0, 1].
Now, let's calculate the approximations using the different rules.
(a) Trapezoidal Rule:
The Trapezoidal Rule is given by the formula:
$$T_n = \frac{h}{2} \left[f(x_0) + 2f(x_1) + 2f(x_2) +
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