integrate e^ mod x where x lies between -1,1 - Maths - Integrals

Question

integrate e^ mod x where x lies between -1,1

Varun.Rawat · Accepted Answer

Let I = ∫-1+1 ex dxNow, fx = exNow, f-x = e-x = ex = fxSo, fx is an even function
Now, ∫-1+1 ex dx = 2∫01ex dx=2∫01ex dx         as, x = x, where x > 0=2 ex01=2e-1