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September 5th, 2018, 07:13 PM  #1 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G  Help me to verify these derivates! Urgent!
Hey there, guys! I'd like to know if you can help me test these formulas. You just have to derive them. And if the result is equal to what is inside the integral are well done. I'd really appreciate your help. Thank you! 
September 5th, 2018, 07:42 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,174 Thanks: 1142 
you can dump them into wolfram alpha as well as we can

September 5th, 2018, 07:47 PM  #3 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G 
C'mon dude... Can you give me a hand, please?

September 5th, 2018, 08:50 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,882 Thanks: 1835 
The first is okay if 4ac > b². I haven't checked the others, but it's apparent that special cases, such as when a = 0, haven't been considered. 
September 5th, 2018, 08:52 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,910 Thanks: 774 Math Focus: Wibbly wobbly timeywimey stuff. 
Are you asking how to do the integrals? To verify the solutions by taking the derivative of the RHS: Hint: $\displaystyle \frac{d}{dx} \text{atn} (x) = \frac{1}{x^2 + 1}$ Hint: $\displaystyle \frac{d}{dx} \lnx = \frac{1}{x}$ The rest is just using the chain rule. See what you can do with these. Dan Last edited by skipjack; September 6th, 2018 at 05:23 AM. 
September 5th, 2018, 09:19 PM  #6 
Senior Member Joined: Sep 2015 From: USA Posts: 2,174 Thanks: 1142  
September 6th, 2018, 03:24 AM  #7 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G 
Thank you so much!


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calculus, derivates, math, urgent, verify 
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