CalculusCourse skill

Integrating sine

Integrate sine functions, including linear angles.

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

Example 1

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

Find the inner derivative.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. 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.Sine integrates to negative cosine. Divide by the inner derivative.
← All Calculus cardsReport a mistake