Virtual Labs

Given that:

f(x) = 0.23 + 25x - 200x^2 + 675x^3 - 900x^4 + 400x^5

. Find the value of

\int_0^{0.8} f(x) dx

with Richardson Extrapolation.

a: 1.672 Explanation

Explanation

b: 2.142 Explanation

Explanation

c: 1.223 Explanation

Explanation

d: 1.790 Explanation

Explanation

Given that:

f(x) = 0.23 + 25x - 200x^2 + 675x^3 - 900x^4 + 400x^5

. In the integration

\int_0^{0.8} f(x) dx

using Richardson Extrapolation method, what is the percentage error w.r.t to direct solution.

a: More than 5% Explanation

Explanation

b: More than 2% Explanation

Explanation

c: More than 10% Explanation

Explanation

d: Less than 2% Explanation

Explanation

Integration - Richardson Extrapolation for Integration