integration x^2/1-x^4
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generally how many types of account can be be opened in a bank?
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Step-by-step explanation:
I=x^2 /(1-x^4)
=1/2[2x^2 /(1-x^4)]
=1/2[{(1+x^2)-(1-x^2)}/(1-x^4)]
=1/2[(1+x^2)/(1-x^4) -(1-x^2)/(1-x^4)]
=1/2[(1+x^2)/(1+x^2)(1-x^2) -(1-x^2)/(1+x^2)(1-x^2)]
=1/2[1/(1-x^2) -1/(1+x^2)]
Now integrate
I=1/2[1/2 ln|(1+x)/(1-x)| -arctan(x)] +C
Hope it helps you.
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