What is the integral of ((1-sqrt(z)))/(zsqrt(z)) ?

The integral of ((1-sqrt(z)))/(zsqrt(z)) is -(2(1-sqrt(z)))/(sqrt(z))-ln|z|+C

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integral of ((1-sqrt(z)))/(zsqrt(z))

\int \frac{( 1 - z )}{z z} d z

- \frac{2 ( 1 - z )}{z} - ln ∣ z ∣ + C

Solution steps

\int \frac{1 - z}{z z} d z

Apply Integration By Parts

: - \frac{2 ( 1 - z )}{z} - \int \frac{1}{z} d z

= - \frac{2 ( 1 - z )}{z} - \int \frac{1}{z} d z

\int \frac{1}{z} d z = ln ∣ z ∣

= - \frac{2 ( 1 - z )}{z} - ln ∣ z ∣

Add a constant to the solution

= - \frac{2 ( 1 - z )}{z} - ln ∣ z ∣ + C

\int - 2 x^{2} + 2 d x

7 sin^{2} (t)

cos (π x)

x \to 0 lim (\frac{cos ( 4 x )}{x})

x \to 8 lim (88)

What is the integral of ((1-sqrt(z)))/(zsqrt(z)) ?
The integral of ((1-sqrt(z)))/(zsqrt(z)) is -(2(1-sqrt(z)))/(sqrt(z))-ln|z|+C