Additional Mathematics 0606 / Calculus — Integration / 3.893.89: Recover f(x)f(x)f(x) from f′′(x)f''(x)f′′(x) and given values0606/12/F/M/23 — Question 6 · 8 marksMark as done · Save for later · Show all solutionsGiven that f′′(x)=(5x+2)−25f''(x) = (5x + 2)^{-\frac{2}{5}}f′′(x)=(5x+2)−52, f′(6)=173f'(6) = \dfrac{17}{3}f′(6)=317 and f(6)=263f(6) = \dfrac{26}{3}f(6)=326, find an expression for f(x)f(x)f(x).[8]▸ Answer▸ Official mark scheme← 3.79: Integration identity and shaded area3.76: Partial fractions integration →
