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1 Answer
- 11 months ago
Break it into 2 integrals:
int(3 * dx , x = -4 , x = 0) + int((6 - x^2) * dx , x = 0 , x = 4)
3x [-4 , 0] + (6x - (1/3) * x^3) [0 , 4]
3 * (0 - (-4)) + 6 * (4 - 0) - (1/3) * (4^3 - 0^3) =>
3 * 4 + 6 * 4 - (1/3) * 64 =>
36 - 64/3 =>
108/3 - 64/3 =>
44/3
Before we get too crazy though and say that 44/3 is the answer, we need to acknowledge that the function isn't continuous or differentiable when x = 0. If you can plug in something that says that we can't integrate it, then you can try that first.
