Additional Mathematics 0606 / Calculus — Integration / 2.372.37: Differentiating and integrating with square roots of sine0606/22/M/J/18 — Question 9 · 7 marksMark as done · Save for later · Show all solutions(i)Differentiate x4sinxx^{4}\sqrt{\sin x}x4sinx with respect to xxx.[4]▸ Answer(ii)Hence find ∫(x+x4cosxsinx+8x3sinx)dx\displaystyle\int \left(x + \frac{x^{4}\cos x}{\sqrt{\sin x}} + 8x^{3}\sqrt{\sin x}\right)\mathrm{d}x∫(x+sinxx4cosx+8x3sinx)dx.[3]▸ Answer▸ Official mark scheme← 1.66: Finding a curve from a fractional second derivative2.38: Integration of power, sine and exponential functions →
