Find the area under the curve f(x)=2x from x=0 to x=3

To find the area under the curve \(f(x) = 2x\) from \(x = 0\) to \(x = 3\), we need to compute the definite integral of \(f(x)\) over the interval \([0, 3]\).

### Step-by-step Solution:

1. **Set up the integral**:
   \[
   \text{Area} = \int_{0}^{3} 2x \, dx
  

Discover how to find the area under the curve \( f(x) = 2x \) from \( x = 0 \) to \( x = 3 \) using calculus. This problem involves computing the definite integral of \( f(x) \) over the interval \( [0, 3] \). Suitable for advanced high school students in Grades 11-12.

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