why is this wrong, can u not do it this way explain pls!!

[smoky mural]

diff or integration

[brazen dove]

what have you even tried to do

[wind knoll]

remember when you had like
y = 10x^3 + 2x^2 + 10
then
dy/dx = 30x^2 + 4x
To go back to y, we integrate (antiderivative) but the issue is,
the constant (+10 originally) could have been anything, since it just dissapears
so
if you integrate
30x^2+4x with respect to x
y = 30/3 x^3 + 4/2 x^2 + C
To find C you substitute a known point in

Try solve it using that logic

Also notice, your answer was a linear graph
But the only way to get a linear graph when integrating is if you integrated a constant
e.g.
integrating 5 wrt x gives 5x+c
To check your answer, differentiate y="your answer"
and compare it to the value of dy/dx they gave you in the question

[smoky mural]

Wait so if it was a tangent u could differentiate but for the actual graph u cant ?