Integrate 1+xx3dx

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

Integrate $\frac{1 + x}{x^{3}} d x$

2x2−1x+k

- \frac{1}{2 x^{2}} - \frac{1}{x} + k

- \frac{x^{2}}{2} - \frac{1}{x} + k

x2−1x+k

Answer Details

$\int \frac{1 + x}{x^{3}} d x$

= $\int (\frac{1}{x^{3}} + \frac{x}{x^{3}}) d x$

= $\int (x^{- 3} + x^{- 2}) d x$

= $\frac{- 1}{2 x^{2}} - \frac{1}{x} + k$

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