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- 1 decade agoFavorite Answer
That's just the integral of 5x + x^6 evaluated from 0 to 1.
So integrate first:
5x^2 / 2 + x^7/7
Then, plug in 0 and 1 and subtract.
5(1)^2 / 2 + (1)^7/7 - 5(0)^2 / 2 + (0)^7/7
And calculate it:
5/2 + 1 - 0 = 5/2 + 1 = 5/2 + 2/2 = 7/2 = 3.5, there.
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