Find $\displaystyle\int{\frac{-5-2x}{\sqrt{7-6x-{{x}^{2}}}}\,\mathrm{d}x}$. [4] Find $\displaystyle\

Question

Find $\displaystyle\int{\frac{-5-2x}{\sqrt{7-6x-{{x}^{2}}}}\,\mathrm{d}x}$. [4] Find $\displaystyle\int{2\sin kx\sin x\,\mathrm{d}x}$, where $k\in \mathbb{Z}$, $k\ge 2$. [3]

Accepted Answer

(a) 2√(7-6x-x²) + sin⁻¹((x+3)/4) + C, (b) -sin((k+1)x)/(k+1) + sin((k-1)x)/(k-1) + C

2020 EJC Promo Q6

2020 EJC Promo Q6

Video Solution:

Solution:

Solution locked