Additional Mathematics 0606 / Calculus — Integration / 3.603.60: Differentiate a quotient and integrate tan0606/11/O/N/25 — Question 7 · 7 marksMark as done · Save for later · Show all solutions(a)Differentiate sinxex+3cosx−1\dfrac{\sin x}{\mathrm{e}^{x}} + 3\cos x - 1exsinx+3cosx−1 with respect to xxx.[4]▸ Answer(b)Find ∫(1+3tan2x) dx\displaystyle\int (1 + 3\tan^{2} x)\,\mathrm{d}x∫(1+3tan2x)dx.[3]▸ Answer▸ Official mark scheme3.82: Area between curve and normal →