Question

The value of $\int_{-2}^{1}\frac{|x|}{x}dx$ is equal to

• A. -1
• B. -2
• C. 1
• D. 2
• E. 3

Hint:

Logic Tip: Geometrically, the integral represents the area under the curve. From $x=-2$ to $0$, it's a rectangle of width 2 and height -1 (Area = -2). From $x=0$ to $1$, it's a rectangle of width 1 and height 1 (Area = 1). Total area = $-2 + 1 = -1$.

Answer 1

The Correct Option is A