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Popular >

integral of 1-3/y

Solution

\int 1 - \frac{3}{y} d y

Solution

y - 3 ln ∣ y ∣ + C

Solution steps

\int 1 - \frac{3}{y} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d y - \int \frac{3}{y} d y

\int 1 d y = y

\int \frac{3}{y} d y = 3 ln ∣ y ∣

= y - 3 ln ∣ y ∣

Add a constant to the solution

= y - 3 ln ∣ y ∣ + C

Graph

Popular Examples

f (x) = - 8 sin (x)

derivative of (1/(y^2)-7/(y^4))(y+9y^3)derivative of

(\frac{1}{y ^{2}} - \frac{7}{y ^{4}}) (y + 9 y^{3})

limit as x approaches 3 of 2x-3

x \to 3 lim (2 x - 3)

2 y^{^{''}} + 33 y = 0

limit as x approaches 1 of \sqrt[3]{x}

x \to 1 lim (3 x)

Frequently Asked Questions (FAQ)

What is the integral of 1-3/y ?
The integral of 1-3/y is y-3ln|y|+C