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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).
Example of Implicit differentiation So, now it's time to do our first problem where implicit differentiation is required, unlike the first example where we could actually avoid
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