Hi! When you have 1/sqrt(ax^2+bx+c) we must write the expression in one of these 3 ways: 1. 1/sqrt(k^2+x^2) 2. 1/sqrt(k^2-x^2) 3. 1/sqrt(x^2-k^2) Then we should do the correct trig substitution based on the expression we obtained before: integralsforyou.com/frequently-asked-questions#which-trigonometric-substitution-use
Hi! I agree with you! It is just that I prefer to write all the details without using known formulas in case your teacher doesn't allow you to use them 🙂
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Youre the Best!
Thank you! ❤ And thanks for asking such an interesting integral! 😉
Great job!
Thank you, Mike! Cheers! ❤❤
Whatever!... If it was an exam to answer in 5 minutes... how can I see all those substitutions in a few minutes lol
Hi! When you have 1/sqrt(ax^2+bx+c) we must write the expression in one of these 3 ways:
1. 1/sqrt(k^2+x^2)
2. 1/sqrt(k^2-x^2)
3. 1/sqrt(x^2-k^2)
Then we should do the correct trig substitution based on the expression we obtained before: integralsforyou.com/frequently-asked-questions#which-trigonometric-substitution-use
@@IntegralsForYou ❤️
I was just frustrated, couldn't see it
@@GooogleGoglee 💪💪
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to much process, just completing the squares of quadratic equation and have integral form of dx/(a^2-u^2)^1/2 = arcsin(u/a)+c
Hi! I agree with you! It is just that I prefer to write all the details without using known formulas in case your teacher doesn't allow you to use them 🙂