Question

Now, we can say that the general antiderivative is the following.

2v(v2 + 3)2 dv

= 2v^5 + 12v^3 + 18v dv

Answer 1

please help with step by steps

Answer 2

What are you trying to find?

Answer 3

+c

Answer 4

like the constanct for that function

Answer 5

The antiderivative is the same as the indefinite integral. From what you posted, it looks like you actually have the derivative and need to find the antiderivative (since an antiderivative shouldn't have a dv in it).

If that's the case, it looks like you need to find the indefinite integral (antiderivative)\[\int\limits_{}^{}(2v^{5}+12v^{3}+18v)dv=(1/3)v^{6}+3v^{4}+9v^{2}+C\]
In order to find the value of C, you would need to have initial values of some kind. Typically this is "find the function f(x) where f'(x) = <some function>, f(0) = <some value>"

Without that initial condition, you cannot find C.

Answer 6

ok thanks