Find the particular antiderivative that satisfies the following conditions

[goob94]

p'(x) =- 50/x^2
p(4)=5


So i know that intergral is 50/x, but i am confused what to do with the p(4)=5 part.

Thanks!

 

[Quaid]

p'(x) = -50/x^2

p(4)=5

that integral is 50/x

what to do with the p(4)=5 part.

You forgot the constant of integration; there are infinite antiderivatives of -50/x^2, and you're looking for a particular one such that it equals 5 when x equals 4.

The general antiderivative is 50/x + C

Calculate the value of C that causes p(x)=50/x+C to output 5 when the input is 4.

Cheers