Q. 22 - Calculus

Question

Use geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of the definite integrals in Exercises $21-28$.

${\int }_2^{1}0(4x-3)dx$.

Step-by-Step Solution

Answer

The exact value of ${\int }_2^{1}0(4x-3)dx$ is, $0$.

Step 1 . Given information

${\int }_2^{1}0(4x-3)dx$.

Step 2 . Find the area.

The area of the shaded triangle is,

$\frac{1}{2}\times 1\times 0=0$

Therefore, the exact value is, $0$.