1. The problem is to find the area under a curve by integration. 2. The area under a curve $y=f(x)$ from $x=a$ to $x=b$ is given by the definite integral $$\text{Area} = \int_a^b f(x)\,dx.$$ 3. To solve this, we need the function $f(x)$ and the interval $[a,b]$ over which to integrate. 4. Since the function and limits are not provided, please specify the function and the interval for the integration.