Determine whether the integral _ 0 ^ /2 ( x - x 2 ) ,dx is positive

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine whether the integral ∫0π/2(sin⁡x−x2) dx\int_{0}^{\pi/2} \bigl(\sin x - \tfrac{x}{2}\bigr)\,dx is positive, negative, or zero, giving a brief reason without carrying out the integration.

Related theory

Browse the problem library