Integral of Sqrt(x^2 + 25) by Trigonometric Substitution | Integration | Calculus | Glass of Numbers
15 هزار بار بازدید -
4 سال پیش
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In this video, we integrate
In this video, we integrate a function involving a square root by using trigonometric substitution. (We often call this "trig sub" or "trig sub integral".)
Depending on the form of the expression inside the square root, we will make the following substitution using a trigonometric function:
For A^2 - X^2, we use X = A sinθ.
For A^2 + X^2, we use X = A tanθ.
For X^2 - A^2, we use X = A secθ.
After performing the trig sub, we need to integrate secant cubed of theta: sec^3(θ). See how to do that integral here:
Trigonometric Integral of Secant Cube...
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#Calculus #Integration #Integral
Depending on the form of the expression inside the square root, we will make the following substitution using a trigonometric function:
For A^2 - X^2, we use X = A sinθ.
For A^2 + X^2, we use X = A tanθ.
For X^2 - A^2, we use X = A secθ.
After performing the trig sub, we need to integrate secant cubed of theta: sec^3(θ). See how to do that integral here:
Trigonometric Integral of Secant Cube...
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:
Instagram: 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!
Sígueme:
Instagram: glassofnumbers
https://www.glassofnumbers.com
-------------------------------------------------------
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！
請追蹤我的 IG: Instagram: glassofnumbers
我的網站: https://www.glassofnumbers.com
#Calculus #Integration #Integral
4 سال پیش
در تاریخ 1399/03/24 منتشر شده
است.
15,037
بـار بازدید شده