2024 TMJC H1 Q2
2024 TMJC H1 Q2
5 marks
- Differentiate \(\frac{1}{\sqrt{3x^2 - 2}}\) with respect to \(x\).[2]
- Find \(\displaystyle\int \left( 5 - \frac{1}{x} \right)^2 \, \mathrm{d}x\).[3]
Solution:
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Answer:(a)\(-3x(3x^2-2)^{-\frac{3}{2}}\)
(b)\(25x-\frac{1}{x}-10\ln |x|+C\)
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