tìm tích phân 2 mũ 2x+1
Giải thích
\(\int {{2^{2x + 1}}} \;{\rm{d}}x = 2\int {{4^x}} \;{\rm{d}}x = 2\left( {\frac{{{4^x}}}{{\ln 4}} + {C_1}} \right) = \frac{{{4^x}}}{{\ln 2}} + C\left( {C = 2{C_1}} \right)\).
\(\int {{2^{2x + 1}}} \;{\rm{d}}x = 2\int {{4^x}} \;{\rm{d}}x = 2\left( {\frac{{{4^x}}}{{\ln 4}} + {C_1}} \right) = \frac{{{4^x}}}{{\ln 2}} + C\left( {C = 2{C_1}} \right)\).