Constant of Integration

The system does not automatically return the constant of integration–the ``arbitrary constant,'' so you must remain alert and add the constant when needed. Simply enter ``+  C '' to change from

$\displaystyle \int$$\displaystyle \left(\vphantom{ 2x^{2}+3x+5}\right.$2x2 + 3x + 5$\displaystyle \left.\vphantom{ 2x^{2}+3x+5}\right)$ dx = $\displaystyle {\frac{{2}}{{3}}}$x3 + $\displaystyle {\frac{{3}}{{2}}}$x2 + 5x

to

$\displaystyle \dint$$\displaystyle \left(\vphantom{ 2x^{2}+3x+5}\right.$2x2 + 3x + 5$\displaystyle \left.\vphantom{ 2x^{2}+3x+5}\right)$ dx = $\displaystyle {\frac{{2}}{{3}}}$x3 + $\displaystyle {\frac{{3}}{{2}%
}}$x2 + 5x + C

Such constants are needed, for example, if you have a formula for acceleration and you wish to find an expression for velocity.