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Автор - Nastyaarefeva99

Решите пожалуйста по математике ​очень нужно

Ответ

Проверено экспертом

Автор - NNNLLL54

1); ; int (3x^2-2sinx+frac{3}{x}+2), dx=3cdot frac{x^3}{3}-2, (-cosx)+3, ln|x|+2x+C=\\=x^3+2, cosx+3, ln|x|+2x+C; ;\\\2); ; int (8^{x}-x^8), dx=frac{8^{x}}{ln8}-frac{x^9}{9}+C; ;\\\3); ; int frac{dx}{3x+2}=[; t=3x+2; ,; dt=(3x+2)'dx=3, dx; ,; dx=frac{dt}{3}; ]=\\=frac{1}{3}int frac{dt}{t}=frac{1}{3}cdot ln|t|+C=frac{1}{3}cdot ln|3x+2|+C; .

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