Q. 12 - Calculus

Question

Use graphs to determine whether each of the following definite integrals is equal to a positive number, a negative number, or zero:

${\int }_{-\frac{3\mathrm{\pi }}{4}}^{\frac{3\mathrm{\pi }}{4}}\cos x dx$

Step-by-Step Solution

Answer

The definite integral is zero.

Step 1. Given information

${\int }_{\frac{-3\mathrm{\pi }}{4}}^{\frac{3\mathrm{\pi }}{4}}\cos x dx$

Step 2. Explanation

From the graph, it is clear that the function is a zero definite integral.