0.8 Use Gauss Quadrature to evaluate 1 dx .Compute also the absolute 1+ 2x 0.2 error of the approximation given the true value is 0.30952.

Q: x, 1 y. 0.2742 0.0976 0.0575 0.0347 0.0138 1.6 1.9 2.2 2.8

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A: Use the bisection method.

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Q: Evaluate. (a) ∫x(x+ 1)^2 dx. (b)∫(upper) π/4 (lower) 0 (1 + 2 secθtanθ)dθ

A: Part a,Given,            ∫xx+12dx

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.