Question

find the general indefinite integral. Use C for the constant of integration
`\int\limits(7 x^(2) +2x^-^2)dx`

Answer 1

`\bf \displaystyle \int (7x^2+2x^(-2))dx\implies \int 7x^2\cdot dx+ \int 2x^(-2)\cdot dx \\\\\\ \displaystyle 7\int x^2\cdot dx+ 2\int x^(-2)\cdot dx\implies 7\cdot \cfrac{x^3}{3}+2\cdot \cfrac{x^(-1)}{-1}\implies \cfrac{7x^3}{3}-\cfrac{2}{x}+C`