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Derivative:

d\/dx(x^4 sin(x)) = x^3 (4 sin(x) + x cos(x))


Series expansion at x=0:

5 x^4 - (7 x^6)\/6 + (3 x^8)\/40 - (11 x^10)\/5040 + O(x^11)\n(Taylor series)


Indefinite integral:

 integral x^3 (x cos(x) + 4 sin(x)) dx = x^4 sin(x) + constant

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