Solve ∫ (from 1 to 5) of 1-1/udu

$$\int _ { 1 } ^ { 5 } \frac { 1 - 1 } { u } d u$$

Evaluate

$$0$$

Solution Steps

Subtract 1 from 1 to get 0.

$$\int _{1}^{5}\frac{0}{u}\mathrm{d}u$$

Zero divided by any non-zero term gives zero.

$$\int _{1}^{5}0\mathrm{d}u$$

Evaluate the indefinite integral first.

$$\int 0\mathrm{d}u$$

Find the integral of 0 using the table of common integrals rule \int a\mathrm{d}u=au.

$$0$$

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.

$$0+0$$

Simplify.

$$0$$