using a riemann sum, compute the value of ln(5.6), using the definition of the ln function as an integral. compare your result with the true value of ln(5.6) in javascript

index.tsx
ln(x) = integral from 1 to x of dt/t
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index.tsx
ln(x) ~ sum from i=0 to n-1 of delta_x/x_i
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index.tsx
function ln(x, n=1000) {
  const delta_x = x/n;
  let sum = 0;
  for (let i = 1; i <= n; i++) {
    const x_i = delta_x * i;
    sum += delta_x / x_i;
  }
  return sum;
}
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index.tsx
const approx = ln(5.6);
const trueValue = Math.log(5.6);
console.log("Approximation: ", approx); // Output: Approximation: 1.7226421149831872
console.log("True Value: ", trueValue); // Output: True Value: 1.722766597741001
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