2020 YIJC P2 Q1
2020 YIJC P2 Q1
4 marks
Prelims
- State the derivative of \(\tan \left( {{x}^{3}} \right)\).[1]
- Find \(\displaystyle\displaystyle \displaystyle\int{6{{x}^{5}}{{\sec }^{2}}\left( {{x}^{3}} \right)\mathrm{d}x}\).[3]
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Answer:(i) \(3x^2\sec^2(x^3)\) (ii) \(2x^3\tan(x^3)-2\ln|\sec(x^3)|+C\)
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