Question

If the function $f(x)$ is bounded and integrable on $[a,b]$ such that $f(x) \ge 0$ $\forall x \in [a,b]$, $b \ge a$ then $\int_{a}^{b} f(x) dx$ is __}

• A. $\le 0$
• B. $= 0$
• C. $\ge 0$
• D. $x \ne 0$

Hint:

Integration preserves inequalities: if $f(x) \ge g(x)$, then $\int f \ge \int g$.

Answer 1

The Correct Option is C