Porisma

A hint to get started

Compare a modulus integral with signed integrals

Without using a calculator, identify which of the following definite integral(s) has a different value. Refer to the sketch from Example 9: (a) ∫−20∣x2−4∣ dx\int_{-2}^0|x^2-4|\,dx, (b) ∫−20(x2−4) dx\int_{-2}^0(x^2-4)\,dx, (c) −∫−20(x2−4) dx-\int_{-2}^0(x^2-4)\,dx. You can check your own answer using the graphing calculator.

CJC · Lecture · Self-Practice 3

Both copies print the comparison ask and optional calculator-check instruction, with no answer. The sign comparison and exact values here are independently authored.

Use the sign of the original quadratic on the stated interval before doing any arithmetic.

Read the worked solution