3. Evaluate the following integrals, where 8(x) is the Dirac delta function:

a) Ĵ [5(z + 3) + 25(x − 4)]dx;

b) [8(x + 2) - 6(x − 2)]dx;

c)

] [5(x + 1) – 6(x − 1)] dx;

— −

d)

T/2

fatis

-π/2

cos x 8(sin x) dx.