Question

Интеграл (4cosx-3x^4)dx
Определенный интеграл от 1 до 2 x^1/2dx

Answer 1

$\int{(4cosx-3x^4)} \, dx =4sinx-3 \frac{x^5}{5}+C$
$\int\limits^2_1 { x^{1/2}} \, dx = \frac{x^{3/2}}{3/2}|\limits^2_1 = \frac{2x^{3/2}}{3}|\limits^2_1 = \frac{2}{3} (2^{3/2}-1)=\frac{2}{3} (2 \sqrt{2}-1 )$