Question

The function f(x) = $\int _ { 0 } ^ { \mathrm { x } } \log \left( \mathrm { t } + \sqrt { 1 + \mathrm { t } ^ { 2 } } \right)$ dt is

• A. An even function
• B. An odd function
• C. A periodic function
• D. None of these

Answer 1

Answer: (A)

An even function

Answer 2

log (t + ) is odd function

so f(x) = $\int _ { 0 } ^ { \mathrm { x } } \log \left( \mathrm { t } + \sqrt { 1 + \mathrm { t } ^ { 2 } } \right)$ . dt = even function