CalculusAdditional / Further Maths

Evaluating definite integrals

Evaluate an integral by substituting its limits.

  • First find an antiderivative .
  • : substitute the upper limit, then subtract the lower-limit value.
  • No is needed in the final value because the constants cancel.

Example 1

Evaluate.

Find an antiderivative.Upper-limit value minus lower-limit value.

Example 2

Evaluate.

Find an antiderivative.Upper-limit value minus lower-limit value.

Your turn

Question 1

Evaluate.

Check answer
Find an antiderivative.Upper-limit value minus lower-limit value.
Question 2

Evaluate.

Check answer
Find an antiderivative.Upper-limit value minus lower-limit value.
Question 3

Evaluate.

Check answer
Find an antiderivative.Upper-limit value minus lower-limit value.
Question 4

Evaluate.

Check answer
Find an antiderivative.Upper-limit value minus lower-limit value.
Question 5

Evaluate.

Check answer
Find an antiderivative.Upper-limit value minus lower-limit value.
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