정적분 계산

[출제의도] 정적분 이해하기 $\displaystyle \int _{- 1} ^{1} {\left( 4 x ^{3} + x ^{2} - \frac{1}{2} x + a \right) dx}$ $\displaystyle = 2 \int _{0} ^{1} {\left( x ^{2} + a \right) dx}$$\displaystyle = 2 \left[ \frac{1}{3} x ^{3} + ax \right] _{0} ^{1}$$\displaystyle = \frac{2}{3} + 2 a$ $\displaystyle \frac{2}{3} + 2 a = 2$이므로 $\displaystyle a = \frac{2}{3}$