Solve ∫ 1/(1+y)

$$\int \frac { 1 } { ( 1 + y ) }$$

Evaluate

$$\frac{x}{y+1}+С$$

Solution Steps

Find the integral of \frac{1}{1+y} using the table of common integrals rule \int a\mathrm{d}x=ax.

$$\frac{x}{1+y}$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\frac{x}{1+y}+С$$

Differentiate w.r.t. x

$$\frac{1}{y+1}$$