State the derivative of $\tan {{x}^{2}}$. Hence, or otherwise, find \(\displaystyle\displaystyle \

Question

State the derivative of $\tan {{x}^{2}}$. Hence, or otherwise, find $\displaystyle\displaystyle \displaystyle\int{{{x}^{3}}{{\sec }^{2}}{{x}^{2}}\mathrm{d}x}$[4]

Accepted Answer

Derivative: $2x\sec^2(x^2)$ Integral: $\dfrac12\left[x^2\tan(x^2)-\ln|\sec(x^2)|\right]+C$

2020 EJC P1 Q2

2020 EJC P1 Q2

Video Solution:

Default solution