Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative. remember to use absolute values where appropriate.) f(x) = 1/5 − 3/x , x > 0

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method on each term.

Currently the function 1/5 has degree 0. Through integration we increase the degree of each term by 1 and divide by the degree. So 1/5 becomes 1/5 x. But the degree of x is 1 so dividing by 1 only gives the same term.For terms where x is in the denominator, we recognize it as a natural log function and write as ln x. Since -3/x is the original then it becomes - 3 ln x.

Thus 1/5 - 3/x becomes . We add a constant C for any possible constant that was eliminated during differentiation.

No he does not because he can only cover 12 square feet from 15 square feet which he will still need 3 more. this is because if 3×5=15 square feet and 15-12=3 which thats the answer

8-2x+3x2=6 and six is your answer