Review question

# When is $I(c) = \int^1_0 2^{-(x-c)^2} dx$ largest? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7461

## Suggestion

1. Let $c$ be a real number and define the following integral $I(c) = \int^1_0 2^{-(x-c)^2} dx.$

State the value(s) of $c$ for which $I(c)$ is largest. Briefly explain your reasoning. [Note you are not being asked to calculate this maximum value.]

The curve here is $y = 2^{-(x-c)^2}$, and the white region is $I(c)$.

Before moving the slider, what effect will it have on the curve?

When will $I(c)$ have its largest value?