(adsbygoogle = window.adsbygoogle || []).push({}); _{4}[tex]\int[/tex]^{9}[tex]\frac{1-\sqrt{x}}{\sqrt{x}+2}[/tex]

what i did:

t=[tex]\sqrt{x}[/tex]

x=t^{2}

dx=x'dt=2tdt

now my integration is from 2-3 instead of 4-9

[tex]\int[/tex][tex]\frac{1-t}{t+2}[/tex]2tdt=2[tex]\int[/tex][tex]\frac{t-t^{2}}{t+2}[/tex]dt

=2([tex]\int[/tex][tex]\frac{t}{t+2}[/tex]dt-[tex]\int[/tex][tex]\frac{t^{2}}{t+2}[/tex]dt)

the 1st integral i can replace with[tex]\int[/tex]1-[tex]\frac{2}{t+2}[/tex]dt which is an immediate integral, but how do i simplify the second part??

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# Homework Help: Immediate integral problem

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