What is the integral of (()/((3y-5)^2)) ?

The integral of (()/((3y-5)^2)) is (dy)/((-5+3y)^2)x+C

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integral of (()/((3y-5)^2))

\int (\frac{d y}{( 3 y - 5 ) ^{2}}) d x

\frac{d y}{( - 5 + 3 y ) ^{2}} x + C

Solution steps

\int \frac{d y}{( 3 y - 5 ) ^{2}} d x

Integral of a constant:

\int a d x = a x

= \frac{d y}{( - 5 + 3 y ) ^{2}} x

Add a constant to the solution

= \frac{d y}{( - 5 + 3 y ) ^{2}} x + C

\int e^{x} + \frac{5}{x} d x

\int 18 x + 36 x^{2} d x

\int \frac{x}{5 x ^{2} + 2} d x

\int 5 5 - 2 x d x

\int x (5 x^{2} + 8)^{10} d x

What is the integral of (()/((3y-5)^2)) ?
The integral of (()/((3y-5)^2)) is (dy)/((-5+3y)^2)x+C