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Evaluate the indefinite integral.
$ \displaystyle \int \frac{x}{1 + x^4} \, dx $
$\frac{1}{2} \tan ^{-1}\left(x^{2}\right)+\mathrm{C}$
02:15
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
Missouri State University
Oregon State University
Boston College
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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.
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