# What is the antiderivative of #(x^3)sqrt(x^2 + 1)) dx#?

If we make the substitution:

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The antiderivative of ((x^3)\sqrt{x^2 + 1}) with respect to (x) is (\frac{1}{5}(x^2 + 1)^{\frac{3}{2}}(x^2 - 2)) + (C), where (C) is the constant of integration.

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