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Use the Trapezoid Rule with [math]n=4[/math] to compute approximations to the following integrals. In \ref{ex8.2.3a}, \ref{ex8.2.3b}, \ref{ex8.2.3c}, and \ref{ex8.2.3d}, compare the approximation obtained with the true value.

• lab{8.2.3a} [math]\int_0^1 (x^2+1) \; dx[/math]
• lab{8.2.3b} [math]\int_0^2 (x^2+1) \; dx[/math]
• lab{8.2.3c} [math]\int_{-1}^3 (4x-1) \; dx[/math]
• lab{8.2.3d} [math]\int_1^3 \frac1{x^2} dx[/math]
• [math]\int_0^1 \frac1{1+x} dx[/math]
• [math]\int_0^1 \frac{dx}{1+x^2}[/math]
• [math]\int_0^1 e^{-x^2} dx[/math]
• [math]\int_0^1 \frac1{x^2+x+1} dx[/math]
• [math]\int_0^1 \frac{x^2-1}{x^2+1} dx[/math]
• [math]\int_0^{\pi} \frac{\sin x}{x} dx[/math].