( int frac{(x-1)(x+4)^{2}}{(x-1)} d x )

Question

Accepted Answer

Step:1 ：( int frac{(x-1)(x+4)^{2}}{(x-1)} d x = int (x+4)^{2} d x )Step:2 ：( int (x^2 + 8x + 16) d x )Step:3 ：( frac{1}{3}x^3 + 4x^2 + 16x + C )

Answer

Step: 1 ：( int frac{(x-1)(x+4)^{2}}{(x-1)} d x = int (x+4)^{2} d x )Step: 2 ：( int (x^2 + 8x + 16) d x )Step: 3 ：( frac{1}{3}x^3 + 4x^2 + 16x + C )

\( \int \frac{(x-1)(x+4)^{2}}{(x-1)} d x \)