Determine ∫10x3+3x2−8x−2dx.

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Lesson Parent: 
The Fundamental Theorem of Integral Calculus
Problem: 

Determine ∫10x3+3x2−8x−2dx.

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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