Graph the integrand and use areas to evaluate the integral.
-$$\int _ { 0 } ^ { 4 } 7 x d x$$
A) 8
B) 28
C) 112
D) 56

Question

Quizplus · Accepted Answer

The graph of the integrand is a line with slope 7 passing through the origin and the point (4,28). 
To evaluate the integral using areas, we can draw a rectangle with base 4 and height 7 on the interval [0,4]. The area of this rectangle is 28, which is the value of the integral. Therefore, the answer is D.

Graph the Integrand and Use Areas to Evaluate the Integral ∫047xdx\int _ { 0 } ^ { 4 } 7 x d x∫04​7xdx

Graph the Integrand and Use Areas to Evaluate the Integral $\int _ { 0 } ^ { 4 } 7 x d x$