luas daerah kuadran 1 yg dibatasi kurva y=x3 y= x x=0 dan garis x = 2

[tex]L= \int\limits^1_0 {y_2-y_1} \, dx + \int\limits^2_1 {y_1-y_2} \, dx \\ = \int\limits^1_0 {x-x^3} \, dx+\int\limits^2_1 {x^3-x} \, dx \\ = \left[ \frac{1}{2}x^2- \frac{1}{4}x^4 \right] ^1_0+ \left[ \frac{1}{4}x^4-\frac{1}{2}x^2 \right] ^2_1 \\ = ( \frac{1}{2}1^2- \frac{1}{4}1^4 -0)+( \frac{1}{4}2^4-\frac{1}{2}2^2-( \frac{1}{4}1^4-\frac{1}{2}1^2 ))\\ = ( \frac{1}{2}- \frac{1}{4})+( 4-2-( \frac{1}{4}-\frac{1}{2} ))\\ = \frac{1}{4}+ 2+ \frac{1}{4}\\ = 2 \frac{1}{2}\\ [/tex]