Finding equation of a curve from the gradient function using integration

In this video I have explained how you can use integration to find the original function if the gradient of the function is given and also we know one point on the curve.

[emelizaaro]

You've literally saved my life, thank you!

[mccjlsm]

my question is saying that the curve is passing through 2 points. how do i do this. find the equation. simulatenous equation? idk how to do that too

[kshitijvispute]

The answer of the last question is👉🏻
y=-2x^3-2x^2+3x+1

Am I correct ??

[davidiswhat]

Ah the internet teaching me better than some of my teachers