How to solve:
Integrate: 3x^2 + 2x + 1 from 1 to 2
Find the antiderivative of the integrand 3x2 + 2x + 1: F(x) = 3x3/3 + 2x2/2 + x = x3 + x2 + x.
Substitute the limits of integration & subtract (F(2) - F(1)): (23 + 22 + 2) - (13 + 12 + 1).
Evaluate F(2): 14 - (13 + 12 + 1).
Evaluate F(1): 14 - 3.
Final Answer: 11.
Here's one to try:

      





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