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`        if i=∫2/x (xlnx) (ln x)3 dx = Axlnx(lnx)^2- B x^ln x+C, then A/B is equal to :`
2 months ago

```							hello jahnvi, this is a very ez ques.simply put y= lnx so that x= e^y and dx= xdyso,  i=∫2/x (xlnx) (ln x)3 dx =  i=∫2e^(y^2)*y^3 dynow put y^2= t so 2ydy= dt so i = ∫t*e^t dt = e^t*(t – 1) + C (integration by parts)= e^(y^2)*(y^2 – 1) + C= x^lnx*(ln^2x – 1) + C= xlnx(lnx)^2 – x^ln x+Cso A= B= 1or A/B = 1kindly approve :))
```
2 months ago
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