Review question

# Can we explain why this integral is zero? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7724

## Question

The curve $y = 4(x+1)(x-1)(x-3)$ meets the $x$-axis at three points. Verify, by finding the numerical value of each, that the two areas formed between the curve and the $x$-axis are of equal size.

Explain why the value of $\displaystyle \int_{-1}^3 y \:dx$ is zero.