Integrate (frac{1 – x}{x^3}) with respect to x
-
A.
(frac{x – x^2}{x^4}) + k -
B.
(frac{4}{x^4} – frac{3 + k}{x^3}) -
C.
(frac{1}{x} – frac{1}{2x^2}) + k -
D.
(frac{1}{3x^2} – frac{1}{2x}) + k
Correct Answer: Option C
Explanation
(int frac{1 – x}{x^3})
= (int^{1}_{x^3} – int^{x}_{x^3})
= x-3 dx – x-2dx
= (frac{1}{2x^2} + frac{1}{x})