![\frac{b^4-a^2b^2}{b^2(b-a)}=\frac{b^2(b^2-a^2)}{b^2(b-a)}=\frac{(b-a)(b+a)}{b-a}=b+a](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E4-a%5E2b%5E2%7D%7Bb%5E2%28b-a%29%7D%3D%5Cfrac%7Bb%5E2%28b%5E2-a%5E2%29%7D%7Bb%5E2%28b-a%29%7D%3D%5Cfrac%7B%28b-a%29%28b%2Ba%29%7D%7Bb-a%7D%3Db%2Ba)
![-7+\sqrt{3}+5-\sqrt{3}=-2](https://tex.z-dn.net/?f=-7%2B%5Csqrt%7B3%7D%2B5-%5Csqrt%7B3%7D%3D-2)
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Находим пределы интегрирования:
х² = ∛х
х⁶ = х
х⁶ - х = 0
х(х⁵ - 1) = 0
Два корня: х = 0
х⁵ = 1 х = 1.
![\int\limits^1_0 {( \sqrt[3]{x} -x^2)} \, dx = \frac{3x ^{ \frac{4}{3} } }{4}- \frac{x^3}{3}| _{0} ^{1}=](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E1_0%20%7B%28%20%5Csqrt%5B3%5D%7Bx%7D%20-x%5E2%29%7D%20%5C%2C%20dx%20%3D%20%20%5Cfrac%7B3x%20%5E%7B%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20%7D%7B4%7D-%20%5Cfrac%7Bx%5E3%7D%7B3%7D%7C%20_%7B0%7D%20%5E%7B1%7D%3D%20%20%20%20)
![= \frac{3}{4}- \frac{1}{3}= \frac{9-4}{12}= \frac{5}{12}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3%7D%7B4%7D-%20%5Cfrac%7B1%7D%7B3%7D%3D%20%5Cfrac%7B9-4%7D%7B12%7D%3D%20%5Cfrac%7B5%7D%7B12%7D%20%20%20%20)
11/2=3x+2/0/8
11*0.8/2
3*4.4+2=15.2
<span>4a+9b=40
a= (40 - 9b)/ 4</span>