My Math Forum Help me to verify these derivates! Urgent!

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September 5th, 2018, 07:13 PM   #1
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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.

Thank you!
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 September 5th, 2018, 07:42 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,299 Thanks: 1218 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: 20,271 Thanks: 1959 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. Thanks from topsquark
 September 5th, 2018, 08:52 PM #5 Math Team     Joined: May 2013 From: The Astral plane Posts: 2,040 Thanks: 814 Math Focus: Wibbly wobbly timey-wimey 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: $\displaystyle \frac{d}{dx} \ln|x| = \frac{1}{x}$ The rest is just using the chain rule. See what you can do with these. -Dan Thanks from TheFedeBlaze Last edited by skipjack; September 6th, 2018 at 05:23 AM.
September 5th, 2018, 09:19 PM   #6
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Quote:
 Originally Posted by TheFedeBlaze C'mon dude... Can you give me a hand, please?
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 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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