Solve ∫ (from 0 to 1) of L2

$$\int _ { 0 } ^ { 1 } L 2$$

Evaluate

$$L_{2}$$

Solution Steps

Evaluate the indefinite integral first.

$$\int L_{2}\mathrm{d}x$$

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

$$L_{2}x$$

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.

$$L_{2}\times 1-L_{2}\times 0$$

Simplify.

$$L_{2}$$

Differentiate w.r.t. L_2

$$1$$