Use foil method
\left(3x\right)\left(3x\right)+3x\left(1\right)+\left(-1\right)\left(3x\right)+\left(-1\right)\left(1\right) 9x^2+3x-3x-1
Combine like terms
Answer\:=\:9x^2-1
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Question: What is the integral of f(x) = 3x^2 + 2x + 1 from x = 1 to x = 4?