Food for thought

# Stretch the function Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Warm-up

Evaluate the definite integral $\int_{-1}^2 (x+1)^2 \,dx .$

Find the value of the constant $a$ so that $\int_{-1}^2 a(x+1)^2 \,dx = 1 .$

Sketch graphs to illustrate how these definite integrals are related.