Please any help is appreciated

[Marierose]

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]

\(\displaystyle \L
\frac{d}{{dx}}\int_0^x {\arctan (t^2 )dt} = \arctan (x^2 )
.\)

 

[galactus]

Is the constructive theorem of calculus just another name for the second fundamental theorem of calculus?. I've not heard that terminology before.

 

[Marierose]

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?