College Calculus 2

Question

Find the most general antiderivative of the function

 

f(x) = 5/x^4

Answer 1

Greetings! Lets solve this shall we ?

We notice the requirement to find the most general anti-derivative of the function f(x) = 5/x⁴ .

So, we integrate it as

5 ∫ (1/x⁴) dx = 5 ∫ x^-4 dx = 5(x^-3/ (-3)) + C = (-5/3)x^-3 + C or (-5 / 3x³) + C

I hope this helped!