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Old January 22nd, 2009, 05:04 PM
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Default Midpoint rule integration

Use the Midpoint Rule to approximate the integral

the 3 is on the top, and the -6 is on the bottom, and n=3.

\int_{-6}^{3}(6 x - 3 x^2)dx


Can anyone solve this I can't figure it out.
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Old January 22nd, 2009, 05:54 PM
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f(x) = 6x - 3x^2

\int_{-6}^3 f(x) \, dx \approx \left[\frac{3 - (-6)}{3}\right] \cdot \left[f(-4.5) + f(-1.5) + f(1.5)\right]
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Old January 22nd, 2009, 06:07 PM
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Hmm, that still doesn't make sense to me =/, what would be the numerical answer exactly?
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Old January 22nd, 2009, 06:25 PM
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Quote:
Originally Posted by serix View Post
Hmm, that still doesn't make sense to me =/, what would be the numerical answer exactly?
use your calculator.
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