Question

Помогите решить 1.3 и 1.14 даю 35 баллов

Answer 1

$1.3)\; \; \int \frac{4x^3+x^4-8x^5}{x^3} dx=\int (4+x-8x^2)dx=\\\\=4x+\frac{x^2}{2}-8\cdot \frac{x^3}{3}+C\\\\1.14)\; \; \int \frac{x^{\frac{3}{4}}-x^{\frac{3}{5}}+x^{\frac{2}{3}}}{x} dx=\int (x^{-\frac{1}{4}}-x^{-\frac{2}{5}}+x^{-\frac{1}{3}})dx=\\\\=\frac{x^{\frac{3}{4}}}{\frac{3}{4}}- \frac{x^{\frac{3}{5}}}{\frac{3}{5}}+ \frac{x^{\frac{2}{3}}}{\frac{2}{3}} +C= \frac{4}{3}x^{\frac{3}{4}}-\frac{5}{3} x^{\frac{3}{5}}+\frac{3}{2} x^{\frac{2}{3}}+C$