Integration of Rational Function by Partial Fraction Decomposition - Repeated Linear Factor
In this video, we talk about integration of rational functions by partial fraction decomposition. This is an example whose denominator has a repeated linear factor. The form of the decomposition involves two partial fractions for the repeated linear factor.
There are two methods of finding the constants in the decomposition.
1) Traditional way (by matching the coefficients)
2) Plug in convenient x-values to make terms disappear
In this video, I plugged in some x-values to find the constants.
See here for the video that I show both ways of finding the constants:
https://youtu.be/Sbj2ROSpIm0
See how to integrate functions in the form of 1/(ax + b) here:
https://youtu.be/XeOHwLwEj6s
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Please help me by subscribing to my YouTube channel. I want to use my free time to make a lot of math videos to help others and to make education available to the world. Your Likes and Subscribing will help this channel be reached by more people. Thank you!
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請訂閱我的YouTube Channel, 我會製作更多與數學相關的視頻,讓世界各地的朋友用簡單的方法學習數學(數學考試一定A)!請用您的訂閱和點贊支持我,並在留言區與我討論!謝謝!
#Calculus #Integration #PartialFractionDecomposition
Видео Integration of Rational Function by Partial Fraction Decomposition - Repeated Linear Factor канала Glass of Numbers
There are two methods of finding the constants in the decomposition.
1) Traditional way (by matching the coefficients)
2) Plug in convenient x-values to make terms disappear
In this video, I plugged in some x-values to find the constants.
See here for the video that I show both ways of finding the constants:
https://youtu.be/Sbj2ROSpIm0
See how to integrate functions in the form of 1/(ax + b) here:
https://youtu.be/XeOHwLwEj6s
📺 Subscribe to my channel for Math Learning!
https://www.youtube.com/glassofnumbers?sub_confirmation=1
Please help me by subscribing to my YouTube channel. I want to use my free time to make a lot of math videos to help others and to make education available to the world. Your Likes and Subscribing will help this channel be reached by more people. Thank you!
Follow me:
https://www.instagram.com/glassofnumbers
https://www.glassofnumbers.com
Ayúdame suscribiéndome a mi canal de YouTube. Quiero usar mi tiempo libre para hacer muchos videos de matemáticas para ayudar a otros y hacer que la educación esté disponible para el mundo. Tus Me gusta y Suscripciones ayudarán a que más personas lleguen a este canal. ¡Gracias!
請訂閱我的YouTube Channel, 我會製作更多與數學相關的視頻,讓世界各地的朋友用簡單的方法學習數學(數學考試一定A)!請用您的訂閱和點贊支持我,並在留言區與我討論!謝謝!
#Calculus #Integration #PartialFractionDecomposition
Видео Integration of Rational Function by Partial Fraction Decomposition - Repeated Linear Factor канала Glass of Numbers
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