If -x4-1xx2-12dx-Aln-x-B1-x2-C- where C is the constant of integration- then -A-B- is equal to

Let I=∫x^4+1x(x^2+1)^2dx nbsp; =∫(x^2+1)^2 2x^2x(x^2+1)^2dx =∫1xdx ∫2x(x^2+1)^2dx =ln|x|+11+x^2+C ⇒ A=1 and B=1 ∴ |A+B|=2 ...

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Integration of Trigonometric Functions

If ∫x4+1xx2+1...

Question

If $\int \frac{x^{4} + 1}{x (x^{2} + 1)^{2}} d x = A ln | x | + \frac{B}{1 + x^{2}} + C,$ where $C$ is the constant of integration, then $| A + B |$ is equal to

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