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I have to find the integral of xsqrt(x + 1) dx. By hand, I found (2/3)x(x + 1)^(3/2) – (4/15)(x + 1)^(5/2) + c By sage math I found : -(2/3)(x + 1)^(3/2) + (2/15)(x + 1)^(5/2) the sage math’s code is simple: x=var('x'); f = x*sqrt(x + 1); fi = integral(f, x); print (latex(fi)); which is the error?

I have to find the integral of xsqrt(x x*sqrt(x + 1) dx. dx.

By hand, I found (2/3)x(x (2/3)*x*(x + 1)^(3/2) – (4/15)(x (4/15)*(x + 1)^(5/2) + c c.

By sage math SageMath I found : -(2/3)(x found -(2/3)*(x + 1)^(3/2) + (2/15)(x (2/15)*(x + 1)^(5/2) 1)^(5/2).

x = var('x')
f = x*sqrt(x + 1);
1)
fi = integral(f, x);
print (latex(fi));
which x)
print(latex(fi))