Question

Another work check, pliz.

Answer 1

\[\int\limits_{ }^{ }x(x^3+2x^2+x)dx\]

Answer 2

\[\int\limits_{ }^{ }x(x^3+2x^2+x)dx\]\[\int\limits_{ }^{ }x^2(x^2+2x+1)dx\]\[\int\limits_{ }^{ }x^2(x+1)^2dx\]\[\frac{1}{3}x^3(x+1)^2-\int\limits_{ }^{ }\frac{2}{3}x^3(x+1)dx\]\[\frac{1}{3}x^3(x+1)^2-\left(\begin{matrix} \frac{1}{6}x^4(x+1)-\int\limits_{ }^{ }\frac{1}{6}x^4~ dx \end{matrix}\right) \]\[\frac{1}{3}x^3(x+1)^2- \frac{1}{6}x^4(x+1)+\int\limits_{ }^{ }\frac{1}{6}x^4~ dx \]\[\frac{1}{3}x^3(x+1)^2- \frac{1}{6}x^4(x+1)+\frac{1}{30}x^5+C\]

Answer 3

VERSES,

\[\int\limits_{ }^{ }x^4+2x^3+x^2~dx\]\[\frac{1}{5}x^5+\frac{1}{2}x^4+\frac{1}{3}x^3~dx\]

Answer 4

dx should be +C