Question

Find the antiderivative of:
ln/√ y

Answer 1

(x(log(x)-1)/
√y) + C

Answer 2

\[y*\ln \sqrt{y} -0.5*y\]

Answer 3

what is the problem? can you use the equation editor please?

Answer 4

\[\int\limits_{4}^{9} \ln(y)/\sqrt{y}\]

Answer 5

Here's the indefinite integral:
integration by parts\[u=\ln y\]\[dv=y^{-1/2}\]\[\int y^{-1/2}\ln y=2y^{1/2}\ln y-\int2y^{1/2}\cdot(\frac1y)dy\]\[=2y^{1/2}\ln y-2\int y^{-1/2}dy=2y^{1/2}\ln y-4y^{1/2}+C\]\[=2\sqrt y(\ln y-2)+C\]with the definite integral you would just evaluate at the end and remove the C