EASY PEASY, BE SURE TO KNOW HOW TO DO IT....!
This video discusses another example of the theorem on definite integrals with lower limit is equal to zero. The theorem was originally introduced along with the proof in the previous video. The reason for posting this video is to show possible other forms of applications of the theorem, than being limited to the example discussed in that video with the introduction of the theorem.
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Nice! In fact you can do the u-sub immediately even before multiplying above and below by cos^6(x), if you use the identity tan(π/2 - x) = cot(x). But of course this is essentially the same as your method :D
@gayansamarasekara
Ай бұрын
Perfect….! You nailed it…!
Its become hard when the integral are undefine
@gayansamarasekara
Ай бұрын
Thanks for your comment. I think you mean when the integral is indefinite. Yes, harder in that case, though it can still be evaluated.
I do not understand the numerators are not de same.
@gayansamarasekara
Ай бұрын
Thanks for your question. Yes, the numerators are not the same, but the denominators are. You have the first term in the form: a/(a+b), and the second term in the form: b/(a+b), meaning when the two are added you get: (a+b)/(a+b) = 1.
@fernandoromeralopez8251
Ай бұрын
@@gayansamarasekara thank you so much
@fernandoromeralopez8251
Ай бұрын
@@gayansamarasekara it’s so easy. Thanks
@gayansamarasekara
Ай бұрын
@@fernandoromeralopez8251 Indeed, it's so easy. You are welcome....! Thanks for commenting....!