Question

помогите решить 2 примера ​

Answer 1

Ответ:

$1)\ \ f(x)=\dfrac{5}{cos^2x}-3sinx\\\\F(x)=\int (\dfrac{5}{cos^2x}-3sinx)\, dx=5\, tgx+3cosx+C\\\\\\2)\ \ f(x)=\Big(\dfrac{x}{5}+2\Big)^3\\\\F(x)=\int \Big(\dfrac{x}{5}+2\Big)^3\, dx=\frac{\Big(\dfrac{x}{5}+2\Big)^4}{4\, \cdot \, \dfrac{1}{5}}+C=\dfrac{5}{4}\cdot \Big(\dfrac{x}{5}+2\Big)^4+C$