Solve ∫ e^x wrt x/4

$$\int \frac { e ^ { x } d x } { 4 }$$

Evaluate

$$\frac{e^{x}}{4}+С$$

Solution Steps

Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

$$\frac{\int e^{x}\mathrm{d}x}{4}$$

Use \int e^{x}\mathrm{d}x=e^{x} from the table of common integrals to obtain the result.

$$\frac{e^{x}}{4}$$

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.

$$\frac{e^{x}}{4}+С$$

Differentiate w.r.t. x

$$\frac{e^{x}}{4}$$