∫ 1/(x + x^5).dx = f(x) + c, then ∫ (x^4)/(x + x^5).dx =

Question

\(\int \frac{1}{x + x^5}.dx = f(x) + c,\) then \(\int \frac{x^4}{x + x^5}.dx =\)

∫ 1/(x + x⁵).dx = f(x) + c, then ∫ (x⁴)/(x + x⁵).dx =

(a) log x – f(x) + c 

(b) f(x) + log x + c 

(c) f(x) – log x + c

(d) 1/5 x⁵ f(x) + c

Answer 1

Correct answer is (a) log x – f(x) + c