Solve ∫ e^-x wrt y

$$\int e ^ { - x } d y$$

Evaluate

$$\frac{y}{e^{x}}+С$$

Solution Steps

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

$$\frac{y}{e^{x}}$$

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

$$\frac{y}{e^{x}}+С$$

Differentiate w.r.t. x

$$-\frac{y}{e^{x}}$$