Question

Ok if something says d/dx than integral (x^2+4)^5 is the answer just what is already shown?

Answer 1

Yes,
\[\Large \frac{d}{dx}\int(x^2+4)^5dx = (x^2+4)^5\]
since,
\[\Large \frac{d}{dx}\int f \ '(x)dx = f(x)\]

Answer 2

Thank you @jim_thompson5910 :)

Answer 3

no problem

Answer 4

@jim_thompson5910 it wouldn't matter if the d/dx was inside the integral right?

Answer 5

if it's inside the integral, then you'll have

\[\Large \int \frac{d}{dx}\left(f(x)\right)dx = f(x)+C\]

where C is a constant

Answer 6

Oh so your just adding a c? so it would be (x^2+4)^5+c

Answer 7

yes, usually it's capital C

Answer 8

oh ok

Answer 9

\[\Large \int f \ '(x)dx = f(x)+C\]

Answer 10

\[\Large \frac{d}{dx}\Big[f(x)\Big] = f \ '(x)\]

Answer 11

ok, yes that makes sense