212k views
1 vote
Please find antegral

Please find antegral-example-1

1 Answer

2 votes


\displaystyle \int \cfrac{6x^4-8x^3-4x^2+3x-5}{x^2}\cdot dx\implies \int \left[ 6x^2-8x-4+\cfrac{3}{x}-5x^(-2) \right]dx \\\\\\ 6\cdot \cfrac{x^3}{3}-8\cdot \cfrac{x^2}{2}-4x+3\ln(x)-5\cdot \cfrac{x^(-1)}{-1}~~ + ~~C \\\\\\ ~\hfill~2x^3-4x^2-4x+3\ln(x)+\cfrac{5}{x}~~ + ~~C~\hfill~

User Matt Harvey
by
6.6k points