Find the definite integral by computing an area.
-$$\int _ { 2 } ^ { 5 } 0.5 x d x$$
A) $\frac { 3 } { 4 }$
B) $\frac { 21 } { 4 }$
C) $\frac { 29 } { 4 }$
D) $10.5$

Question

Quizplus · Accepted Answer

The integral $\int _ { 2 } ^ { 5 } 0.5 x d x$ represents the area under the curve $0.5x$ from $x = 2$ to $x = 5$. This can be calculated as $\frac{1}{2} \times (5^2 - 2^2) = \frac{1}{2} \times (25 - 4) = \frac{1}{2} \times 21 = \frac{21}{4}$.

Find the Definite Integral by Computing an Area ∫250.5xdx\int _ { 2 } ^ { 5 } 0.5 x d x∫25​0.5xdx

Find the Definite Integral by Computing an Area $\int _ { 2 } ^ { 5 } 0.5 x d x$