How Challenging Are These Trig Integration Problems?

Thread starter xGrey
Start date Feb 22, 2009
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Integration Trig

In summary, integration in trigonometry involves finding the area under a curve in a trigonometric function. It requires knowledge of trigonometric identities and techniques, and is used to solve problems involving angles. Some common trigonometric integration formulas include the power rule, inverse trigonometric identities, and double angle formulas. Trigonometric integration is used in real life to solve problems in fields such as physics, engineering, and astronomy. When doing trigonometric integration, it is important to use the correct substitution and trigonometric identity, avoid calculation errors with trigonometric functions, and remember to include the constant of integration in the final answer.

Feb 22, 2009

xGrey

the problems are:

1. (sec5x)^4 dx
2. (tan2x)^3*(sec2x)^3 dx
3. (tanx)^2 /secx dx
4. (tan (x/4))^5

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Feb 23, 2009

tiny-tim

Science Advisor

Homework Helper

Welcome to PF!

Hi xGrey ! Welcome to PF!

Show us your attempts, and where you're stuck, and then we'll know how to help!

Start with 3. … use a trigonometric identity to simplify it.

1. What is integration in trigonometry?

Integration in trigonometry involves finding the area under a curve in a trigonometric function. It is used to solve problems involving angles, such as finding the displacement of an object with a given velocity over time.

2. How is trigonometric integration different from regular integration?

Trigonometric integration requires knowledge of trigonometric identities and techniques, such as substitution and integration by parts. It also involves working with trigonometric functions and their inverse functions, unlike regular integration which deals with algebraic and exponential functions.

3. What are some common trigonometric integration formulas?

Some common trigonometric integration formulas include the power rule for sine and cosine, the inverse trigonometric identities, and the double angle formulas. These formulas are used to simplify and solve integrals involving trigonometric functions.

4. How do you use trigonometric integration in real life?

Trigonometric integration is used in real life to solve various problems in fields such as physics, engineering, and astronomy. For example, it can be used to calculate the trajectory of a projectile or the motion of a pendulum.

5. What are some common mistakes to avoid when doing trigonometric integration?

Some common mistakes to avoid when doing trigonometric integration include forgetting to use the correct substitution or trigonometric identity, making calculation errors with trigonometric functions, and forgetting to include the constant of integration in the final answer.