Problem 5 (7 points) Charge Density Integral For the following geometries and charge densities, first sketch the geometry and then find the total charge enclosed by the geometry. a) (1 point)

0[m] ≤ x ≤ 1[m], b) (2 points) c) (2 points) d) (2 points) 0[m] ≤ x ≤ 1[m], 0[m] ≤ y ≤ 1[m], 1[m] ≤p ≤ [2m], 0[m] ≤ y ≤ 1[m], 0[m] ≤ z ≤ 1[m], r = 2[m], Pv = x² + y + z 倫 [² Pv = e-p T 0[rad] ≤ 0 ≤[rad], 5TT ¹[rad] ≤ ≤ [rad], -1 [m] ≤ z ≤ 2[m], 4 0[m] ≤ z ≤ 1[m], P₂ = 1 0[rad] << 2n[rad], G Ps = = ¹1/1