∫\(\frac{(x-1)(x-\log x)^{3}}{x}\)dx is equal to: (1)
A. \(\frac{(1-\log x)^{4}}{4}\) + C
B. \(\frac{(3 x-\log x)^{4}}{3}\) + C
C. \(\frac{(x-\log x)^{3}}{4}\) + C
D. \(\frac{(x-\log x)^{4}}{4}\) + C
Answer:D
∫\(\frac{(x-1)(x-\log x)^{3}}{x}\)dx is equal to: (1)
A. \(\frac{(1-\log x)^{4}}{4}\) + C B. \(\frac{(3 x-\log x)^{4}}{3}\) + C C. \(\frac{(x-\log x)^{3}}{4}\) + C D. \(\frac{(x-\log x)^{4}}{4}\) + C