Integrate (int (4x^{-3} – 7x^2 + 5x – 6) mathrm d x).
-
A.
(-2x^{-2} – frac{7}{3}x^3 + frac{5}{2} x^2 – 6x) -
B.
(2x^2 + frac{7}{3} x^3 – 5x + 6) -
C.
(12x^2 + 14x – 5) -
D.
(-12x^{-4} – 14x + 5)
Correct Answer: Option A
Explanation
(int (4x^{-3} – 7x^2 + 5x – 6) mathrm d x)
= (frac{4x^{-3 + 1}}{-3 + 1} – frac{7x^{2 + 1}}{2 + 1} + frac{5x^{1 + 1}}{1 + 1} – 6x)
= (-2x^{-2} – frac{7}{3} x^3 + frac{5}{2} x^2 – 6x)
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