What is the integral of 1/((1+y)^2) ?

The integral of 1/((1+y)^2) is -1/(1+y)+C

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integral of 1/((1+y)^2)

\int \frac{1}{( 1 + y ) ^{2}} d y

- \frac{1}{1 + y} + C

Solution steps

\int \frac{1}{( 1 + y ) ^{2}} d y

Apply u-substitution

= \int \frac{1}{u ^{2}} d u

Apply the Power Rule

= - \frac{1}{u}

Substitute back

u = 1 + y

= - \frac{1}{1 + y}

Add a constant to the solution

= - \frac{1}{1 + y} + C