Solve the integral: int(x^3+4x^2+sinx)dx.

First, since there are terms with different factors of x summing together, we can separate these into three individual integrals as follows:int(x3 dx) + 4int(x2dx) + int(sinx dx)Then using the rules of integration given in the integral tables we solve for every term as:1/3 x2 + 4/2 x - cos x + constant

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