Additional Mathematics 0606 / Calculus — Integration / 1.131.13: Equation of a curve from a trigonometric second derivative0606/11/M/J/20 — Question 11 · 8 marksMark as done · Save for later · Show all solutionsA curve is such that d2ydx2=5cos2x\dfrac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} = 5\cos 2xdx2d2y=5cos2x. This curve has a gradient of 34\dfrac{3}{4}43 at the point (−π12,5π4)\left(-\dfrac{\pi}{12}, \dfrac{5\pi}{4}\right)(−12π,45π). Find the equation of this curve.[8]▸ Answer▸ Official mark scheme← 1.12: Partial fractions and logarithmic integration1.41: Area bounded by line and hyperbola →
