Question

could someone help me find antiderivaative of 5/x^4

Answer 1

\[\int \frac{5}{x^4}\space dx=-\frac{5}{3x^3}+C\]

Answer 2

know that 5/x^4=5x^(-4)

Answer 3

could you explain the steps to find that

Answer 4

\[\int\frac{5}{x^4}dx=5\int\frac{1}{x^4}dx=5\int x^{-4}dx=5(3x^{-3})+C=\frac{5}{3x^3}+C\]

Answer 5

hmm...okay i think i kinda see it

Answer 6

I left off a negative sign when I took the integral of x^-4...

Answer 7

should be
5 \integral x^-4 dx = 5(-3x^-3) = - 5/(3x^3)+C

I switched to the negative exponents because it makes it a bit easier, like doing a regular exponent... I don't generally do that so I tend to mess it up.