Solve ∫ _{-pi/2}^2overline{1+cosx wrt x

$$\int _ { - \frac { \pi } { 2 } } ^ { 2 } \overline { 1 + \cos x } d x$$

Evaluate

$$\frac{\pi }{2}+2\approx 3.570796327$$

Solution Steps

Evaluate the indefinite integral first.

$$\int 1\mathrm{d}x$$

Find the integral of 1 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$x$$

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.

$$2+\frac{\pi }{2}$$