Question

If $f(t)$ is an odd function, then $\underset{0}{\overset{x}{\int }}f(t)dt$ is:

• A. an odd function
• B. an even function
• C. neither even nor odd
• D. 0

Answer 1

Answer: (B)

If $f(t)$ is an odd function, then $\underset{0}{\overset{x}{\int }}f(t)dt$ is an even function.
If $f(t)$ is an even function, then $\underset{0}{\overset{x}{\int }}f(t)dt$ is an odd function.