Пожалуйста, ну решите эти 2 примера, объясните как их решать...
1.
Находим абсциссы точек пересечения графиков:
;
(cм. рис. 1)
2.
⇒ или ⇒ ⇒
cм. рис. 2
; 
⇒ 
или 
⇒ 
⇒
![x=\sqrt[3]{\frac{121}{16}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B121%7D%7B16%7D%7D "x=\sqrt[3]{\frac{121}{16}}")
![S=\int\limits^{\sqrt[3]{\frac{121}{16} } }_ {0} \ ( 11\sqrt{x} -4x^2) dx =(11\frac{x^{\frac{3}{2}}}{\frac{3}{2} } -4\frac{x^3}{3})| ^{\sqrt[3]{\frac{121}{16} } }_ {0}=\frac{22}{3} \sqrt[3]{\frac{121}{16} })^{\frac{3}{2}} -\frac{4}{3}( \sqrt[3]{\frac{121}{16} })^3=\\\\=\frac{22}{3}\cdot \frac{11}{4}-\frac{4}{3}\cdot \frac{121}{16}= \frac{121}{12}](https://tex.z-dn.net/?f=S%3D%5Cint%5Climits%5E%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B121%7D%7B16%7D%20%7D%20%7D_%20%7B0%7D%20%5C%20%28%2011%5Csqrt%7Bx%7D%20-4x%5E2%29%20dx%20%3D%2811%5Cfrac%7Bx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20-4%5Cfrac%7Bx%5E3%7D%7B3%7D%29%7C%20%5E%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B121%7D%7B16%7D%20%7D%20%7D_%20%7B0%7D%3D%5Cfrac%7B22%7D%7B3%7D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B121%7D%7B16%7D%20%7D%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20-%5Cfrac%7B4%7D%7B3%7D%28%20%5Csqrt%5B3%5D%7B%5Cfrac%7B121%7D%7B16%7D%20%7D%29%5E3%3D%5C%5C%5C%5C%3D%5Cfrac%7B22%7D%7B3%7D%5Ccdot%20%5Cfrac%7B11%7D%7B4%7D-%5Cfrac%7B4%7D%7B3%7D%5Ccdot%20%5Cfrac%7B121%7D%7B16%7D%3D%20%20%5Cfrac%7B121%7D%7B12%7D "S=\int\limits^{\sqrt[3]{\frac{121}{16} } }_ {0} \ ( 11\sqrt{x} -4x^2) dx =(11\frac{x^{\frac{3}{2}}}{\frac{3}{2} } -4\frac{x^3}{3})| ^{\sqrt[3]{\frac{121}{16} } }_ {0}=\frac{22}{3} \sqrt[3]{\frac{121}{16} })^{\frac{3}{2}} -\frac{4}{3}( \sqrt[3]{\frac{121}{16} })^3=\\\\=\frac{22}{3}\cdot \frac{11}{4}-\frac{4}{3}\cdot \frac{121}{16}= \frac{121}{12}")