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Numerade Educator

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Problem 62 Medium Difficulty

Use Property 8 to estimate the value of the integral.

$ \displaystyle \int^2_0 (x^3 - 3x + 3) \,dx $

Answer

$2 \leq \int_{0}^{2}\left(x^{3}-3 x+3\right) d x \leq 10$

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Video Transcript

The first thing we should do is take the derivative. We're just gonna be three x squared, minus three. Now we know if Primex is your when X is one X is negative. One off of zeroes. Three rifle one is one. Are you two is five. Therefore you have to is less in the inter roll from zero to excuse Merced three X plus three DX, which is less than able to 10.