Chapter 1.5, Problem 1.44P

Evaluate the following integrals:
(a) ${\displaystyle {\int }_2^6\left(3x^2-2x-1\right)\delta \left(x-3\right)}dx.$
(b) ${\displaystyle {\int }_0^5\cos x\delta \left(x-\pi \right)dx.}$
(c) ${\displaystyle {\int }_0^3{x}^3\delta \left(x+1\right)dx.}$
(d) ${\displaystyle {\int }_{-\infty }^{\infty }\ln \left(x+3\right)\delta \left(x+2\right)dx.}$