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Integrate $\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x$ ....

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.

$-12x^{-4} - 14x + 5$

View answer & explanation

Correct answer is A

$\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x$

= $\frac{4x^{-3 + 1}}{-3 + 1} - \frac{7x^{2 + 1}}{2 + 1} + \frac{5x^{1 + 1}}{1 + 1} - 6x$

= $-2x^{-2} - \frac{7}{3} x^3 + \frac{5}{2} x^2 - 6x$

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