20.2 Evaluate the following integral (a) analytically, (b) Romberg integration ($\epsilon_s$ = 0.5%), (c) the three-point Gauss quadrature formula, and (d) MATLAB integral function: $\int_0^8 -0.055x^4 + 0.86x^3 - 4.2x^2 + 6.3x + 2 \, dx$
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The power rule states that the integral of x^n with respect to x is (1/(n+1)) * x^(n+1). Applying this rule to each term in the integrand, we get: ∫(-0.055x^4 + 0.86x^3 - 4.2x^2 + 6.3x + 2) dx = (-0.055/5)x^5 + (0.86/4)x^4 - (4.2/3)x^3 + (6.3/2)x^2 + 2x + Show more…
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