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JAMB Mathematics 2019 Paper

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Question : 58

Total: 73

Integrate

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

.

$-2x^{-2} - \frac{7}{3}x^3 + \frac{5}{2} x^2 - 6x$
$2x^2 + \frac{7}{3} x^3 - 5x + 6$
$12x^2 + 14x - 5$
$-12x^{-4} - 14x + 5$

Solution:

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

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

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

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