The integral of (4x+3)/(x^2+1) - Version 1

In this video, I demonstrate how to integrate (or find the antiderivative of) the expression (4x+3)/(x^2+1) by separating the numerator into 2 components: This leads performing two separate, but common integrals of: ∫4x/(x^2+1)dx + ∫3/(x^2+1)dx The first integral can be performed in the same fashion as shown in the video tutorial on how to integrate 4x/(x^2 + 6), by using a u-substitution. Watch the video here: https://www.youtube.com/watch?v=c_Wgh6F5d5Y And the second integral can be performed according to the video tutorial on how to integrate 1/(x^2 + a^2), by using a trigonometric substitution. Watch the video here: https://www.youtube.com/watch?v=Xi3GdKPK63I Thanks for watching. Please give me a "thumbs up" if you have found this video helpful. Please ask me a maths question by commenting below and I will try to help you in future videos. I would really appreciate any small donation which will help me to help more math students of the world. Tip me some DogeCoin: A4f3URZSWDoJCkWhVttbR3RjGHRSuLpaP3 Tip me at PayPal: https://paypal.me/MasterWu

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