Tìm: c) tích phân (2x+ 1)^2/ x^2 dx d) tích phân (2^x + 3/x^2)dx

c) \(\int {\frac{{{{\left( {2x + 1} \right)}^2}}}{{{x^2}}}dx} \)\( = \int {\frac{{4{x^2} + 4x + 1}}{{{x^2}}}dx} \)\( = \int {\left( {4 + \frac{4}{x} + \frac{1}{{{x^2}}}} \right)dx} \)

\( = 4\int {dx + 4\int {\frac{1}{x}dx + \int {\frac{1}{{{x^2}}}} } } dx\)\( = 4x + 4\ln \left| x \right| - \frac{1}{x} + C\).

d) \(\int {\left( {{2^x} + \frac{3}{{{x^2}}}} \right)} dx\)\( = \int {{2^x}dx + 3\int {{x^{ - 2}}dx} } \)\( = \frac{{{2^x}}}{{\ln 2}} - \frac{3}{x} + C\).