Question

НАЙДИТЕ НЕОПРЕДЕЛЕННЫЙ ИНТЕГРАЛ

Answer 1

$1)\; \; \int 18\, sin\, 6x\, dx=-\frac{18}{6}\cdot cos\, 6x+C=-3\, cos\, 6x+C\\\\\\2)\; \; \int \frac{15}{cos^210x}\, dx=15\cdot \frac{1}{10}\, tg10x+C=\frac{3}{2}\cdot tg10x+C\\\\\\\star \; \; \int sin(kx+b)\, dx=-\frac{1}{k}\cdor cos(kx+b)+C\; ;\\\\\int \frac{dx}{cos^2(kx+b)}\, dx=\frac{1}{k}\cdot tg(kx+b)+C\; \; \star$