Solve ∫ _{-1/2}^3sqrt{1-cos2pi wrt x

$$\int _ { - \frac { 1 } { 2 } } ^ { 3 } \sqrt { 1 - \cos 2 \pi } d x$$

Evaluate

$$0$$

Solution Steps

Get the value of \cos(2\pi ) from trigonometric values table.

$$\int _{-\frac{1}{2}}^{3}\sqrt{1-1}\mathrm{d}x$$

Subtract 1 from 1 to get 0.

$$\int _{-\frac{1}{2}}^{3}\sqrt{0}\mathrm{d}x$$

Calculate the square root of 0 and get 0.

$$\int _{-\frac{1}{2}}^{3}0\mathrm{d}x$$

Evaluate the indefinite integral first.

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

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

$$0$$

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.

$$0$$