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Mathematics
The value of the integral ∫ ln √ x dx
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Q. The value of the integral $\int \ln \sqrt{ x } dx$
Integrals
A
$x \ln \sqrt{ x }- x + C$
B
$x \ln \sqrt{ x }-\frac{ x }{2}+ C$
C
$\frac{\ln ^2 \sqrt{ x }}{2}+ C$
D
$\frac{\ln ^2 \sqrt{ x }}{2 \sqrt{ x }}+ C$
Solution:
Correct answer is (b) $x \ln \sqrt{ x }-\frac{ x }{2}+ C$