What is $\int \frac{x^4}{1+x^{10}}$1$\tan^{-1}x^3+C$2$1/5\sin^{-1}x^5+C$3$1/5\tan^{-1}x^5+C$4$\tan^5x+C$Answer & explanation+Correct answer: option 3Put $x^5=t$. Then the integral becomes $\int \frac{1}{5(1+t^2)}dt=1/5tan^{-1}t+C=1/5tan^{-1}x^5+C$