Determine \[\int_0^1\,x^3+3x^2-8x-2\,dx.\]

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Lesson Parent: 
The Fundamental Theorem of Integral Calculus
Problem: 

Determine \[\int_0^1\,x^3+3x^2-8x-2\,dx.\]

Answer: 

$-19/4$

SAMPLE SOLUTION

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Solution: 

From the Fundamental Theorem of Integral Calculus, we know that

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where $F(x)$ is the antiderivative of $f(x)$.

In this problem we have already found that the antiderivative of <Sign in to see all the formulas> is <Sign in to see all the formulas>. Therefore,

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