Differentiate $\frac{1}{\sqrt{3x^2 - 2}}$ with respect to $x$.[2] Find \(\displaystyle\int \left

Question

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]

Accepted Answer

(a)$-3x(3x^2-2)^{\frac{1}{2}}$ (b)$25x-\frac{1}{x}-10\ln |x|+C$

2024 TMJC H1 Q2