Hey /sci/, can anyone help me with the integral x^2/sqrt(4x^2+24) ? I know it's trig sub, but I am just learning it. This is not a homework question I am genuinely just trying to learn some calculus. So far, all my answers to it have been wrong. Can anyone please help me and provide some of the steps with good explanation?
>>8825455
Literally just use wolfram or some other calculus calculator that gives you the steps.
>>8825461
Wolfram cost money for steps and I don't find that other calculators give very good steps.
>>8825455
1 + tan^2 = sec^2
That's the answer that seems right to me (I didn't substitute in here for the θ's I know you have to which I can do I am just too lazy to write it all out) yet every calculator I go to says I am wrong. What am I fucking up here?
>>8825506
There is more than one way to write this sort of function
>>8825514
Does it only differ by a constant?
>>8825455
http://www.integral-calculator.com/#expr=x%5E2%2Fsqrt%284x%5E2%2B24%29%20
>>8825527
This website is ass.
>>8825506
Can anyone atleast tell me what I am doing wrong?
>>8825506
Have you tried changing back to the original variable?
>>8825506
This is what I've found. Not sure if it's right, though.
Friendly reminder that you will never do complicated symbolic integration outside of Calc II.
Friendly reminder that understanding numerical integration is more important.
>>8825506
>I am just too lazy to write it all out
found the D-student
>>8825849
>He can afford normal paper
Wow, man. No one wants to see all that privilege you got there so please check it. Check it before you come here and mindlessly post.
>>8825849
>not submitting all of your assignments on toilet paper
>>8825849
It's a napkin.
https://www.symbolab.com/solver/step-by-step/%5Cint%5Cleft(%5Cfrac%7Bx%5E%7B2%7D%7D%7B%5Csqrt%7B4x%5E%7B2%7D%2B24%7D%7D%5Cright)