Giải hộ e với ạ

Bài tập 1: a) $\int f(x)dx=\int (x^4+x^{-3})dx=\frac{x^5}{5}+\frac{x^{-2}}{-2}+C=\frac{x^5}{5}-\frac{1}{2x^2}+C$ b) $\int f(x)dx=\int (x^2+\frac{3}{x}-2\sqrt{x})dx=\int (x^2+3x^{-1}-2x^{\frac{1}{2}})dx=\frac{x^3}{3}+3\ln |x|-\frac{4}{3}x^{\frac{3}{2}}+C$ c) $\int f(x)dx=\int (3\sqrt{x}+\frac{1}{\sqrt[3]{x}})dx=\int (3x^{\frac{1}{2}}+x^{-\frac{1}{3}})dx=2x^{\frac{3}{2}}+\frac{3}{2}x^{\frac{2}{3}}+C$ d) $\int f(x)dx=\int 2x(1+3x^3)dx=\int (2x+6x^4)dx=x^2+\frac{6x^5}{5}+C$ e) $\int f(x)dx=\int (3x-2)^2dx=\int (9x^2-12x+4)dx=3x^3-6x^2+4x+C$ f) $\int f(x)dx=\int (\frac{2x^4+3}{x^2})dx=\int (2x^2+\frac{3}{x^2})dx=\int (2x^2+3x^{-2})dx=\frac{2x^3}{3}-\frac{3}{x}+C$ g) $\int f(x)dx=\int \frac{6x+2}{3x-1}dx=\int (2+\frac{4}{3x-1})dx=2x+\frac{4}{3}\ln |3x-1|+C$