Integrate 1 - x / x(x2 + 1) d x by partial fractions.

Step-by-step explanation:

step 1:-   by using partial fractions

......(1)

step 2:-

solving on both sides

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1  =  C

step 3:-

substitute A,B,C values in equation (1)

now  

by using integration formulas

i)  by using .....(b)

.....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

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step-by-step explanation: