Question

!Помогите решить математику!

Answer 1

а) $\int {(3^x+e^x)} \, dx = \frac{3^x}{ln(3)} +e^x+C$
б) $\int { \frac{ \sqrt{x} -x}{x^2} } \, dx = \int {(x^{-3/2}- \frac{1}{x} )} \, dx = \frac{x^{-1/2}}{-1/2}-ln|x| +C=- \frac{2}{ \sqrt{x} } -ln|x| +C$
в) $\int {cos(4x)} \, dx = \frac{1}{4} sin(4x)+C$