@Lio:9 - x² menghasilkan y= x+79 - x² = x + 7Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V= π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx19 V = x[-x-12 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dxV = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx 19 V = x[-x-12x3-7 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32 9 - x² y= x+79 - x² = x + 7Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V= π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx19 V = x[-x-12 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dxV = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx 19 V = x[-x-12x3-7 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32) yg anda tau 9 - x² menghasilkan y= x+79 - x² = x + 7Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V= π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx19 V = x[-x-12 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dxV = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx 19 V = x[-x-12x3-7 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + y= x+79 - x² = x + 7Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V= π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx19 V = x[-x-12 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dxV = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32)dx 19 V = x[-x-12x3-7 y= x+79 - x² = x + 7 Maka x = 1 dan x = -2 V = π112(9-x2)² - (x + 7)2dx V = π12(x4-18x²+81)-(x² +14x +49)dx V = π/12(x4 - 19x2 - 14x + 32) jawabannya berapa???jawabnya cepetan pliss
Answer (1)
Jawaban:V=\pi\int_{-2}^{1}\big[(9-x^2)^2-(x+7)^2\big]\,dx.Langkah hitung singkat:1. Kembangkan integrand:(9-x^2)^2 = x^4-18x^2+81,\qquad (x+7)^2 = x^2+14x+49,(9-x^2)^2-(x+7)^2 = x^4-19x^2-14x+32.2. Integral tak tentu:\int (x^4-19x^2-14x+32)\,dx=\frac{x^5}{5}-\frac{19x^3}{3}-7x^2+32x.3. Evaluasi dari sampai :F(1)=\frac{1}{5}-\frac{19}{3}-7+32=\frac{283}{15},F(-2)=\frac{(-2)^5}{5}-\frac{19(-2)^3}{3}-7(-2)^2+32(-2)=-\frac{716}{15}. Selisih 4. Kalikan :\boxed{V=\frac{333\pi}{5}}.Nilai numerik kira-kira.
