Step 6: Now substitute x = 0 into the antiderivative: (1/4)(0)^4 - (0)^3 + (3/2)(0)^2 - (0) = 0.
Step 7: Finally, subtract the value at x = 0 from the value at x = 1: (3/4) - 0 = (3/4).
Step 8: The final result of the integral is 0, as the function simplifies to 0 over the interval.
Definite Integral Evaluation – The question tests the ability to evaluate a definite integral of a polynomial function over a specified interval.
Fundamental Theorem of Calculus – The solution requires applying the Fundamental Theorem of Calculus to find the antiderivative and evaluate it at the bounds.
