Evaluate the following integrals: a. (int_{0}^{pi} sin x deltaleft(x-frac{pi}{2} ight) d x) b. (int_{-infty}^{infty} deltaleft(frac{x-5}{3} e^{2 x}

Evaluate the following integrals:

a. \(\int_{0}^{\pi} \sin x \delta\left(x-\frac{\pi}{2}\right) d x\)

b. \(\int_{-\infty}^{\infty} \delta\left(\frac{x-5}{3} e^{2 x}\right)\left(3 x^{2}-7 x+2\right) d x\)

c. \(\int_{0}^{\pi} x^{2} \delta\left(x+\frac{\pi}{2}\right) d x\).

d. \(\int_{0}^{\infty} e^{-2 x} \delta\left(x^{2}-5 x+6\right) d x\). 

e. \(\int_{-\infty}^{\infty}\left(x^{2}-2 x+3\right) \delta\left(x^{2}-9\right) d x\).