The diagram shows part of the curve $y = \frac{16}{(x+1)^2} - 1$, cutting the $x$-axis at $M$.

Question

The diagram shows part of the curve $y = \frac{16}{(x+1)^2} - 1$, cutting the $x$-axis at $M$. The tangent at the point $L$ on the curve cuts the $x$-axis at $N$. The gradient of this tangent is $-4$. Calculate the area of the shaded region $LMN$.[12]

Accepted Answer

0.875 units$^2$

2025 DSS PRELIMS P1 Q15

2025 DSS PRELIMS P1 Q15