  # How to do trig substitution

The factor ( 1 + x 2) suggests a triangle with base of length 1 and height x : For this triangle, tan θ = x, so we will try the substitution x = tan θ. Then θ = tan − 1 ( x), where we specify − π / 2 < θ <

• Figure out math equation
• Save time
• Clear up math questions

## Student testimonials

I was able to work out problems and check them AND see the work incase I did mess up somewhere. It is really great. This app is just so handy! It explains everything so well and then even if you dont get that it has even more elaborate explanations.

Micheal Flores

Better than most and extremely underrated, i found no need to use a premium version for myself so I like the app. The best math app ever it makes doing every day calculations really easy and fun to understand. They have to earn money, i can't describe how awesome this app is.

David Noriega

It doesn't go into as deep problem solving step by step detail as the website, some answers are wrong when it comes to fractions in equations. Worth every single penny for the full version, one after each problem and showing steps. It easy to do especially taking pictures and its really smooth not lag.

Jerry Brown Get calculation assistance online

Clear up math

## Trig Substitution

Solving Integrals Using Trig Substitution Identify which of the three terms in the table above appear in the integral. Rewrite the equation as necessary to get it into the correct form. Clear up math problem

If you want to improve your performance, you need to focus on your theoretical skills.

GET SERVICE INSTANTLY

Better than just an app, Better provides a suite of tools to help you manage your life and get more done.

Decide mathematic questions

Get service instantly with our new online chat feature!

## Summary of trig substitution options

Trigonometric substitution is not hard. It is just a trick used to find primitives. It is usually used when we have radicals within the integral sign. There are three basic cases, and each follow  Integration with trigonometric substitution

When using the method of trig substitution, we will always use one of the following three well-known trig identities : (I) 1 − sin 2 θ = cos 2 θ (II) 1 + tan 2 θ = sec 2 θ and (III) sec 2 θ − 1 = tan 2 θ For the expression a 2 − x 2 we use

Having trouble with math? Don't worry, our experts can help clear up any confusion and get you on the right track.

Save time

Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills.

Solve math problem

If you want to save time, do your research and plan ahead.

## 2.3 Trigonometric Substitutions

Here is a summary for the sine trig substitution. √a2 − b2x2 ⇒ x = a bsinθ, − π 2 ≤ θ ≤ π 2. There is one final case that we need to look at. The next integral will also contain

• Better than just an application
• Math understanding that gets you
• Solve mathematic equations
• Instant Expert Tutoring
• Loyal Support

## Calculus II

Look at the triangle in the figure. The radical is the hypotenuse and a is 2, the adjacent side, so Use the results from Steps 2 and 3 to make substitutions in the original

Solve math problems

There are many things you can do to improve your educational performance.

Figure out math question

No need to be a math genius, our online calculator can do the work for you.

Get Help with Homework

Need help with math homework? Our math homework helper is here to help you with any math problem, big or small.

Solve math problem

For those who struggle with math, equations can seem like an impossible task. However, with a little bit of practice, anyone can learn to solve them.