Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these results with the approximation of the integral using a graphing utility. (Round your answers to four decimal places.) 7∫1ln(x) dx, n = 4

Step-by-step explanation:

From the question we are told that:

Definite integral

Generally the equation for Trapezoidal Rule is mathematically given by

Where

Therefore

For

The Endpoints are

Evaluating trapezoidal function at endpoints

Therefore approximation of the integral

b)

Generally the equation for Simpson,s Rule is mathematically given by

Where

Therefore

For

The Endpoints are

Evaluating trapezoidal function at endpoints

Therefore

Therefore shown graphing utility

1. 34

2. 268

3. x=14.4

step-by-step explanation: