Evaluate indefinite integral
x³(2+x²)^½ dx
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Answer:
∫[x³ + 3x^(²+½)+ 3x.x + x^(3/2)] dx
= ∫(x³ + 3x²•⁵ + 3x² + x¹•⁵) dx ... I
= (1/4)x⁴ + (6/7)x³• ⁵ + x³ + (2/5)x²•⁵ + C
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