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int(dx)/((x+1)sqrt(2x^(2)+3x+4)) =K lo...

`int(dx)/((x+1)sqrt(2x^(2)+3x+4))`
`=K logf(x) + C` them

A

`K = - (1)/(sqrt(3)), f(x)`
`=(5-x)/(sqrt(23)(x+1))+sqrt(((5-x)/(sqrt(23)(x+1)))^(2)+(23)/(16))`

B

`K=(1)/(sqrt(3))f(x)=(4-x)/(x+1)+sqrt(((4-x)/((x_+1)))^(2)+(23)/(16))`

C

`K=2,f(x)=y+sqrt(y^(2)+1),y(5-x)/(x+1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-SOLVED EXAMPLE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))
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