Question

Use numerical methods or a calculator to approximate the following integral as closely as possible. ∫ 0/[infinity] x2 /5 sin²x dx

dx=

Answer 1

To approximate the integral ∫(0 to ∞) x²/5 sin²(x) dx, we can use numerical methods or a calculator. One method is to break up the integral into smaller intervals and evaluate the function at certain points within each interval. We can then take the average of these values to approximate the integral.

Step-by-step explanation:

To approximate the integral ∫(0 to ∞) x²/5 sin²(x) dx, we can use numerical methods or a calculator. One method is to break up the integral into smaller intervals and evaluate the function at certain points within each interval. We can then take the average of these values to approximate the integral. Another way is to use numerical integration methods, such as the trapezoidal rule or Simpson's rule, to estimate the integral.