81.1k views
2 votes
The graph of g is shown. Let f(x)=
\int\limits^x__-2 \,g(t)dt. What is f(1)?

The graph of g is shown. Let f(x)= \int\limits^x__-2 \,g(t)dt. What is f(1)?-example-1

2 Answers

4 votes

Answer:
-(9\pi )/(4) or -7.0685. PLease rate if you found it helpful.

User Marco
by
7.9k points
4 votes

Answer:

-7.07 (3 sf)

Explanation:

Integral gives the area between the curve and the axis

Region from x = -2 to x = 1 forms a quadrant with radius 3 units

Area = ¼ × 3.14 × 3²

= 7.065

Since the region is below the x-axis:

Integral value is -7.065

User Monkey Monk
by
8.0k points