Consider the following integral.
\[
\int_{0}^{\pi} \frac{2}{x^{2}+1} d x
\]
Use a graphing utility to graph the integrand.
Use the graph to determine whether the definite integral is positive, negative, or zero.
positive
negative
zero
Submil Answer
Answer
Final Answer: The definite integral is \(\boxed{\text{positive}}\).
Step 1 ：Consider the following integral: \( \int_{0}^{\pi} \frac{2}{x^{2}+1} dx \)
Step 2 ：Use a graphing utility to graph the integrand.
Step 3 ：Use the graph to determine whether the definite integral is positive, negative, or zero.
Step 4 ：Calculate the integral from 0 to \(\pi\).
Step 5 ：After calculating, we will get the value of the integral. If the value is positive, then our initial thought that the integral is positive is correct. If the value is negative or zero, then our initial thought is incorrect.
Step 6 ：Final Answer: The definite integral is \(\boxed{\text{positive}}\).
