[tex]f(x) = {5}^{x} \\ F(x) = \frac{5 {}^{x} }{ ln(5) } + C[/tex]
Ответ: Д)
[tex]f(x) = 16x {}^{7} - 3 {x}^{2} \\ F(x) = \frac{16 {x}^{7 + 1} }{7 + 1} - \frac{3 {x}^{2 + 1} }{2 + 1} = \frac{16 {x}^{8} }{8} - \frac{3 {x}^{3} }{3} = 2 {x}^{8} - {x}^{3} + C[/tex]
Ответ: А)
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3.
[tex]f(x) = {5}^{x} \\ F(x) = \frac{5 {}^{x} }{ ln(5) } + C[/tex]
Ответ: Д)
4.
[tex]f(x) = 16x {}^{7} - 3 {x}^{2} \\ F(x) = \frac{16 {x}^{7 + 1} }{7 + 1} - \frac{3 {x}^{2 + 1} }{2 + 1} = \frac{16 {x}^{8} }{8} - \frac{3 {x}^{3} }{3} = 2 {x}^{8} - {x}^{3} + C[/tex]
Ответ: А)