-zambak- _top_ - Integrals

Elias looked out the window. The sun was rising over the city. For the first time in three years, the sight of the dawn didn't trigger a calculation in his mind. He didn't see the angle of the light or the rate of the changing shadows. He just saw the light.

Evaluate ( \int_1^2 (3x^2 + 2x) dx ).

Since ( x^2 \ge 0 ) on ([0,2]): [ \textArea = \int_0^2 x^2 dx = \left[ \fracx^33 \right]_0^2 = \frac83 - 0 = \frac83 \ \textunits^2 ] Integrals -Zambak-