Find the partial antiderivative of the function y = 4 if the graph of the antiderivative passes through the point (1; 4).

There can be a huge variety of antiderivatives for a function. We will find a concrete, particular antiderivative.

Find the general view of the antiderivatives for the function Y.

F (x) = 4 * x + C, where C is const.

We got the equation of a straight line and a point through which the straight line passes exactly. We substitute the values of the coordinates of the point into the formula of the straight line, we find C and the partial equation of the straight line:

4 = 1 * 4 + C;

C = 0.

Y = 4 * x.

Our antiderivative is a direct proportion.