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intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb...

`intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto` `1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k` `1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k` `1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k` `-1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k`

A

`(1)/(6lna^(2)b^(3))a^(2x)b^(3x)ln""(a^(2x)b^(3x))/(e)+k`

B

`(1)/(6lna^(2)b^(3))(1)/(a^(2x)b^(3x))ln""(1)/(ea^(2x)b^(3x))+k`

C

`(1)/(6lna^(2)b^(3))(1)/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k`

D

`-(1)/(6lna^(2)b^(3))(1)/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k`

Text Solution

Verified by Experts

The correct Answer is:
D
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