Integration

Short practice

Check complete conclusions. Review written methods and sketches separately.

How to enter integrals, curves and constants

Enter expressions only, using x^3/3, sqrt(3*x+1) or x^(3/2). A general antiderivative needs an arbitrary + C; an added fixed number cannot replace it. Equivalent answers may differ by a fixed additive constant. When a point determines the curve, or a definite integral is requested, do not add an arbitrary constant. Use the parameter or variable named beside each field. Enter exact volumes using pi. Give all inputs with commas, pairs as (1,3); (4,2) and intervals as [0,2) U (4,5]. For a line enter a complete equation, such as y=3*x+2 or x=1. Proofs, sketches, limit arguments and written method marks require review.

Build a question worksheet

Select 1–40 questions. The worksheet contains conditions and diagrams, with no answers or feedback.