CalculusAdditional / Further Maths

Integrating polynomials

Integrate each term of a polynomial.

  • Integrate each term separately, keeping its sign.
  • for .
  • A constant term becomes a multiple of . Add one at the end.

Example 1

Integrate with respect to .

Integrate all four terms separately, retaining their signs.

Example 2

Integrate with respect to .

Integrate all four terms separately, retaining their signs.

Your turn

Question 1

Integrate with respect to .

Check answer
Integrate all four terms separately, retaining their signs.
Question 2

Integrate with respect to .

Check answer
Integrate all four terms separately, retaining their signs.
Question 3

Integrate with respect to .

Check answer
Integrate all four terms separately, retaining their signs.
Question 4

Integrate with respect to .

Check answer
Integrate all four terms separately, retaining their signs.
Question 5

Integrate with respect to .

Check answer
Integrate all four terms separately, retaining their signs.
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