## anonymous 5 years ago integrate x/1+x^4 dx

1. anonymous

x^5/(5) + x^2/(2) + C

2. anonymous

no the question is$\int\limits x/1+x ^{4} dx$

3. anonymous

yes and my answer corresponds to that

4. anonymous

so this integral can be interpreted by getting it in the form of 1/1+u^2 du. If we let u = x^2, then du = 2xdx do now the integral becomes$(1/2)\int\limits_{}^{}1/(1+u^2)du$ this equals (1/2)arctan(u) + c, so your final answer is $(1/2)\arctan(x^2)+C$