CalculusAdditional / Further Maths

Integrating cosine

Integrate cosine functions, including linear angles.

  • With angles in radians, .
  • for .
  • Keep the inner angle and divide by its derivative.

Example 1

Integrate with respect to . Angles are in radians; work where the function is defined.

Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.

Example 2

Integrate with respect to . Angles are in radians; work where the function is defined.

Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.

Your turn

Question 1

Integrate with respect to . Angles are in radians; work where the function is defined.

Check answer
Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.
Question 2

Integrate with respect to . Angles are in radians; work where the function is defined.

Check answer
Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.
Question 3

Integrate with respect to . Angles are in radians; work where the function is defined.

Check answer
Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.
Question 4

Integrate with respect to . Angles are in radians; work where the function is defined.

Check answer
Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.
Question 5

Integrate with respect to . Angles are in radians; work where the function is defined.

Check answer
Find the inner derivative.Cosine integrates to sine. Divide by the inner derivative.
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