Solve ∫ (from 2 to 8) of (1/2(1,020))(6) wrt x

$$\int _ { 2 } ^ { 8 } ( \frac { 1 } { 2 } ( 1,020 ) ) ( 6 ) d x$$

Evaluate

$$18360$$

Solution Steps

Evaluate the indefinite integral first.

$$\int 3\times 1020\mathrm{d}x$$

Find the integral of 3\times 1020 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$3\times 1020x$$

Simplify.

$$3060x$$

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.

$$3060\times 8-3060\times 2$$

Simplify.

$$18360$$