Integrals of Trigonometric Functions Teacher Resources

Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...

Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...

Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...

If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...

For this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.

In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits.  The four page worksheet contains twenty-eight multiple choice questions.  Answers are...

In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

In this seal activity, learners match deratives and intervals to their answer.  They match equivalent problems.  This one-page activity contains 22 problems.

Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.

Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...

In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one...

For this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.

Twelfth graders explore Derive.  In this Calculus lesson, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...

Learners explore how to use trigonometry in the aviation field.  In this aviation lesson students complete trigonometry equations that show what planes should do to land their airplanes.

In this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.

Students measure using tools they have made. For this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.

Students investigate the effect of thin films to surface friction. In this physics lesson, students calculate the coefficient of friction using mathematical formulas. They discuss its importance in their everyday lives.

Students explore friction. In this physics lesson plan, students will cover metal blocks with film to determine the changes caused by static and kinetic friction.

The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...

A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...

A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...

Students learn how to integrate inverse trigonometric functions. [6:06]

This site explains various integrals including trigonometric integrals