∫((2x^3)/(1+x^4))dx

nagasenaz

nagasenaz

Answered question

2020-10-31

(2x31+x4)dx

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2020-11-01Added 169 answers

We have to find the following integral
(2x31+x4)dx
Notice that
(2x31+x4)dx=2(x31+x4)dx
Take u=1+x4. It follows du=4(x3)dx>(x3)dx=(1/4)du=2(1/4u)du=21/4ln|u|=1/2ln|1+x4|
Therefore we get
(2x31+x4)dx=12ln|1+x4|+C

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