[填空题]
The area A is defined as the regio ld4m7vitez 9n-)bs,at.,li *e2 ojyhn bounded by tn0gf z6nus*2ehe curve y=$-\frac{x^{2}}{5}(2 x-5) $ and the x -axis for $ 0 \leq x \leq \frac{5}{2}$ .
1. Sketch the curve on the diagram below, shading the area A .
2. Write down a definite integral that represents area A .
Area A=$\int_{0}^{5 / 2}-\frac{x^{2}}{5}(2 x-5) \mathrm{d} x$ ;a= ,b= .
3. Find the area of A .
Area A=$\frac{a}{b}$ units$^2$ ; a= ,b= .
