Evaluate the indefinite integral.

A u-substitution may make the integral easier.



$\displaystyle \int$ $\displaystyle \frac{{{21}\cdot{x}^{{2}}+{7}\cdot{x}+{576}}}{{{x}^{{3}}+{64}\cdot{x}}}$ dx = Preview Question 6   +C



Type sin(x) for $\displaystyle {\sin{{\left({x}\right)}}}$ , cos(x) for $\displaystyle {\cos{{\left({x}\right)}}}$, and so on.

Use x^2 for $\displaystyle {x}^{{2}}$, arcsin(x) for arcsin(x), arctan(x) for arctan(x),

Use ( sin(x) )^2 to square sin(x), ln( ) for natural logarithm.