Question

Помогите найти интегралы❤️❤️❤️

Answer 1

$\int\limits{sin(5x-2)} \, dx \\\int\limits{\frac{sin(t)}{5}} \, dt\\\frac{1}{5}*\int\limits{sin(t)} \, dt\\\frac{1}{5}*(-cos(t)) \\\frac{1}{5}*(-cos(5x-2))\\-\frac{cos(5x-2)}{5} \\-\frac{cos(5x-2)}{5} + C$

C∈R

$\int\limits{(x+5)cos(x)} \, dx \\\int\limits{x*cos(x)+5cos(x)} \, dx\\\int\limits{x*cos(x)} \, dx + \int\limits{5cos(x)} \, dx\\ x*sin(x)+cos(x)+5sin(x)\\ x*sin(x)+cos(x)+5sin(x) +C$

C∈R