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Mathematics
∫ ( ln | x |/ x √1+ ln | x |) dx equals -
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Q. $\int \frac{\ln | x |}{ x \sqrt{1+\ln | x |}} dx$ equals -
Integrals
A
$\frac{2}{3} \sqrt{1+\ln |x|}(\ln |x|-2)+c$
B
$\frac{2}{3} \sqrt{1+\ln | x |}(\ln | x |+2)+ c$
C
$\frac{1}{3} \sqrt{1+\ln |x|}(\ln | x |-2)+ c$
D
$2 \sqrt{1+\ln | x |}(3 \ln | x |-2)+ c$
Solution:
Correct answer is (a) $\frac{2}{3} \sqrt{1+\ln |x|}(\ln |x|-2)+c$