### Home > CALC > Chapter 6 > Lesson 6.4.3 > Problem6-161

6-161.

Find the average value of $g(t)$ defined below over the given interval. You may solve analytically or use your graphing calculator to evaluate.

1. $g(t) = 2t^2 − 3$ over [$0, 4$]

1. $g(t) = 3e^t +\operatorname{ln}(t + 1)$ over [$0, 1$]

Examine the Math Note about about Mean (average) Value. Notice that there are two strategies to compute Mean (average) Value.

Strategy 1: compute the average area under the curve.
Strategy 2: compute a slope of a secant line.

WARNING: These strategies can NOT be used interchangeably. The strategy you choose depends on the function you are given:
$f(x)$ or $F(x)$.

And it depends on the question you are being asked:
Find average $y$-value? or Find average rate of change?

In problem 6-161, you are asked to find the average y-value of the given function $g(x)$.