M Marierose New member Joined Feb 15, 2006 Messages 10 Feb 21, 2006 #1 Find the derivative of d ∫ from 0 to x arctan(t^2) dt dx am i supposed to use the constructive theorem of calculus and work backwords???
Find the derivative of d ∫ from 0 to x arctan(t^2) dt dx am i supposed to use the constructive theorem of calculus and work backwords???
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Feb 21, 2006 #2 \(\displaystyle \L \frac{d}{{dx}}\int_0^x {\arctan (t^2 )dt} = \arctan (x^2 ) .\)
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Feb 21, 2006 #3 Is the constructive theorem of calculus just another name for the second fundamental theorem of calculus?. I've not heard that terminology before.
Is the constructive theorem of calculus just another name for the second fundamental theorem of calculus?. I've not heard that terminology before.
M Marierose New member Joined Feb 15, 2006 Messages 10 Feb 21, 2006 #4 Still a Little confused thank you both so much and i believe it is the same thing. But does this work in any situation. How would i work this out by myself?
Still a Little confused thank you both so much and i believe it is the same thing. But does this work in any situation. How would i work this out by myself?
