Question

Tìm:

a) \(\int3^xdx;\)                        b) \(e^{2x}dx\).

Answer 1

a) \(\int {{3^x}dx}  = \frac{{{3^x}}}{{\ln 3}} + C\)

b) \(\int {{e^{2x}}dx}  = \int {{{\left( {{e^2}} \right)}^x}dx}  = \frac{{{{\left( {{e^2}} \right)}^x}}}{{\ln \left( {{e^2}} \right)}} + C = \frac{{{e^{2x}}}}{2} + C\).