Question

решите интегралы СРОЧНО

Answer 1

Ответ:

$\displaystyle 1)\int (7x+e^{x}+\frac{\sqrt{x}}{2})\, dx=\frac{7x^2}{2}+e^{x}+\frac{1}{2}\cdot \frac{2\sqrt{x^3}}{3}+C=\frac{7x^2}{2}+e^{x}+\frac{\sqrt{x^3}}{3}+C\\\\\\2)\int sin(5x-1)\, dx=-\frac{1}{5}\, cos(5x-1)+C\\\\\\3)\ \int\limits^1_0\, (x^2+5x-1)\, dx=\Big(\frac{x^3}{3}+\frac{5x^2}{2}-x\Big)\Big|_0^1=\frac{1}{3}+\frac{5}{2}-1=\frac{11}{6}$