Solve ∫ (from 20 to 50) of 1d300

$$\int_{ 20 }^{ 50 } 1 d 300$$

Evaluate

$$30d_{300}$$

Solution Steps

Evaluate the indefinite integral first.

$$\int d_{300}\mathrm{d}x$$

Find the integral of d_{300} using the table of common integrals rule \int a\mathrm{d}x=ax.

$$d_{300}x$$

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.

$$d_{300}\times 50-d_{300}\times 20$$

Simplify.

$$30d_{300}$$

Differentiate w.r.t. d_300

$$30$$