Solve ∫ (from e to G) of e^2

$$\int _ { e } ^ { G } e ^ { 2 }$$

Evaluate

$$e^{2}\left(G-e\right)$$

Solution Steps

Evaluate the indefinite integral first.

$$\int e^{2}\mathrm{d}x$$

Find the integral of e^{2} using the table of common integrals rule \int a\mathrm{d}x=ax.

$$e^{2}x$$

The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.

$$e^{2}G-e^{2}e$$

Simplify.

$$\left(G-e\right)e^{2}$$

Differentiate w.r.t. G

$$e^{2}$$