Question

Помогите решить
$\int\limits {(7x^{14}+6x^{11}-x^{2}-x)dx}-\int\limits {(x*(6x^{13}-x-1)-6x^{11})dx}$

Answer 1

Ответ:

$\int (7x^{14}+6x^{11}-x^2-x)\, dx-\int (x\cdot (6x^{13}-x-1)-6x^{11})\, dx=\\\\=7\cdot \dfrac{x^{15}}{15}+\dfrac{x^{12}}{2}-\dfrac{x^3}{3}-\dfrac{x^2}{2}-6\cdot \dfrac{x^{15}}{15}+\dfrac{x^3}{3}+\dfrac{x^2}{2}+\dfrac{x^{12}}{2}+C=\\\\=\dfrac{x^{15}}{15}+x^{12}+C$