Integrate (frac{1 + x}{x^{3}} mathrm d x)
-
A.
(2x^{2} – frac{1}{x} + k) -
B.
(-frac{1}{2x^{2}} – frac{1}{x} + k) -
C.
(-frac{x^{2}}{2} – frac{1}{x} + k) -
D.
(x^{2} – frac{1}{x} + k)
Correct Answer: Option B
Explanation
(int frac{1 + x}{x^{3}} mathrm d x)
= (int (frac{1}{x^{3}} + frac{x}{x^{3}}) mathrm d x)
= (int (x^{-3} + x^{-2}) mathrm d x)
= (frac{-1}{2x^{2}} – frac{1}{x} + k)
There is an explanation video available below.