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Integrate the functionsx/(9-4x^2)...

Integrate the functions`x/(9-4x^2)`

Text Solution

Verified by Experts

Given `x/(9-4x^2)`
Put `9−4x^2=t`
∴`−8xdx=dt`
⇒`∫x/(9−4x^2)​dx=−1/8​∫1/t​dt`
=`-1/8​log∣t∣+C`
=`−1/8​log∣9−4x^2∣+C`
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