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

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft