Use Trapezoidal rule to approximate the integral int12 fracdxx, with n | Mathematics I 2079

Mathematics I20795 marksNumerical: trapezoidal rule integrationApproximate Integrations

Use Trapezoidal rule to approximate the integral $\int_1^2 \frac{dx}{x}$ , with n=5. [5]

Use Trapezoidal rule to approximate the integral $\int_1^2 \frac{dx}{x}$, with n=5. [5]

$a = 1$ , $b = 2$ , $n = 5$ - $f(x) = \dfrac{1}{x}$ $h = \frac{b-a}{n} = \frac{2-1}{5} = 0.2$ $i$ $xi$ $f(xi) = 1/xi$ ------------------------------ 0 1.0 $1.00000$ 1 1.2 $0.83333$ 2 1.4 $0.71429$ 3 1.6 $0.62500$ 4 1.8 $0.55556$ 5 2.0 $0.50000$ $$\inta^b f(x),dx \approx \frac{h}{2}\Big[f(x0) +...

$a = 1$, $b = 2$, $n = 5$ - $f(x) = \dfrac{1}{x}$ $$h = \frac{b-a}{n} = \frac{2-1}{5} = 0.2$$ $i$ $xi$ $f(xi) = 1/xi$ ------------------------------ 0 1.0 $1.00000$ 1 1.2 $0.83333$ 2 1.4 $0.71429$ 3 1.6 $0.62500$ 4 1.8 $0.55556$ 5 2.0 $0.50000$ $$\inta^b f(x),dx \approx \frac{h}{2}\Big[f(x0) +...

Use Trapezoidal rule to approximate the integral int12 fracdxx, with n=5.