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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

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step-by-step explanation: