Integration practice questions

To integrate using the power rule, add one to the power and divide by the new power. For a definite integral, substitute the upper limit then subtract the lower limit, and the constant of integration cancels. The integral of x squared from 0 to 3 equals 9.

Integration is the reverse of differentiation, and it finds the area under a curve. A definite integral has limits, so the constant of integration cancels and a number results.

The method, step by step

1. Reverse the power rule. Add one to the power, then divide by the new power.
2. Add C for indefinite integrals. Any integral without limits needs the constant of integration.
3. Substitute the limits. For definite integrals, work out the upper limit value minus the lower.
4. Skip C with limits. It cancels in the subtraction.

Worked example

Common mistakes

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