💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 44 Hard Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{x}{1 + x^4} \, dx $


$\frac{1}{2} \tan ^{-1}\left(x^{2}\right)+\mathrm{C}$

More Answers


You must be signed in to discuss.

Video Transcript

okay, Given the problem, the first thing you know you could do is we can rewrite the denominator as one plus ax squared squared D backs. Now we know that you is equivalent to x squared, which means that de X is equivalent to one divide by two acts d'you, which means now we have the integral of one over one plus u squared times one over two acts d'you, which means factoring out the 1/2. We know we have 1/2 times inverse tangent because this is inverse tangent plus c. And then remember what you is x squared plus C.