Question

Tìm:

a) \(\int\left(-\dfrac{\cos x}{4}\right)dx\);                    b) \(\int2^{2x+1}dx\).

Answer 1

a) \(\int {\left( { - \frac{{\cos x}}{4}} \right)dx}  =  - \frac{1}{4}\int {\cos xdx}  =  - \frac{1}{4}\sin x + C\)

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