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Bot GPT 3.5 To evaluate this integral, we need to distribute the 2x into the expression 2x(1-x^3):
2x(1-x^3)dx
= 2x - 2x^4 dx
= 2x dx - 2x^4 dx
Now we can integrate each term separately:
∫2x dx = x^2 + C1
∫-2x^4 dx = -1/2 * x^5 + C2
Therefore the final result is:
x^2 - 1/2 * x^5 + C