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Integrate following.
∫ -2 24x 4- x2 + 1dx
Solution
In this case the integrand is even & the interval is accurate so,
∫ -2 24x 4- x2 + 1dx = 2∫ o 24x 4- x2 + 1dx
= 2 ( (4/5) x5 - (1/3) x3 + x |20
= 748 /15
Therefore, by using the fact cut the evaluation in half (essentially since one of the new limits was zero).
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