Introduction to Electrodynamics · Problem 1.44

Vector Analysis — David J. Griffiths

Physics · dirac-delta-function

Problem

Evaluate the following integrals: (a)

\int_2^6 (3x^2 - 2x - 1)\,\delta(x - 3)\,dx

. (b)

\int_0^5 \cos x\,\delta(x - \pi)\,dx

. (c)

\int_0^3 x^3 \delta(x + 1)\,dx

. (d)

\int_{-\infty}^{\infty} \ln(x + 3)\,\delta(x + 2)\,dx