It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.
-$$\int _ { 0 } ^ { \pi } 7 \sin x d x$$
A) 98
B) 2
C) 14
D) 7

Question

Quizplus · Accepted Answer

The area under one arch of the sine curve from $0$ to $\pi$ is given as 2. To find the area under the curve for $7 \sin x$, we scale this area by a factor of 7, resulting in $7 \times 2 = 14$.

It Can Be Shown That the Area Enclosed Between the X-Axis