Question

the accompanying figure shows the area of regions bounded by the graph of f and the x - axis. evaluate the following integral.
int_{0}^{a}f(x)dx
int_{0}^{a}f(x)dx=square \text{(simplify your answer)}

Explanation:

Step1: Identify integral interval

The integral is from 0 to a.

Step2: Determine area sign

The region from 0 to a is above x-axis, area is positive.

Step3: Read area value

The area of the region is labeled 14.

Step4: Integral equals area

$\int_{0}^{a} f(x)dx = 14$

Answer:

14