IB skill practice

Find area under curves

Use definite integrals to calculate signed area and interpret area under a curve.

Paper 1, Paper 2 5 marks Difficulty 5

Average value from an integral

For \(f(x)=3x+1\), find the average value on \([1, 5]\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.