Question

Evaluate the integral:

 

equation

 

using composite trapezoidal rule with h = ,2.0 compare with the exact value.

08 Feb 2025
Answer :
Word Count : 252
To solve the integral numerically using the composite trapezoidal rule, we follow these steps: \[ I = \int_{0.2}^{1.4} \left( \sin x - \log_e x + e^x \right) dx \] ### Step 1: Composite Trapezoidal Rule Formula The composite trapezoidal rule approximates the integral as: \[ I \approx \frac{h}{2} \left[ f(x_0) + 2 \sum_{i=1}^{n-1} f(x_i) + f(x_n) \right] \] where: - \( h \) ______ ______ ___ ______ ___ _____ ______.
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