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`        integration of log(1+x^3)`
7 years ago

## Answers : (2)

147 Points
```										Dear Piyush
I= ∫1* log(1+x^3) dx
intigrate by part  take 1 as second function
I= x log(1+x^3) -∫3x3/(1+x^3)  dx
I= x log(1+x^3) -3∫(x3 +1 -1 )/(1+x^3)  dx
I= x log(1+x^3) --3x +3∫1 /(1+x^3)  dx
now use partial fraction
1 /(1+x^3)  = 1/3(x+1)   + (2-x)/3(x2-x+1)
so intigral become
I= x log(1+x^3) --3x +∫1 /(1+x)  dx  + ∫2-x)/(x2-x+1)  dx
now it is simple intigration
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```
7 years ago
yogesh gandhi
8 Points
```										its is frm of 1*log(1+x3) apply product rule ..take log as a 1 function and '1' as second function ....
and solve it........
```
7 years ago
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