Evaluate the triple integral. y dv, where E = {(x, y, z) | 0 s x < 5, 0 s y s x, x - y szs x + y}

Evaluate the Integral 3 T T y Cos z dx dy dz

Evaluate the line integral by following the given steps. 2xy dx + 4x?y dy C is the triangle with vertices (0, 0),(3,0), and (0, 5). The curve C can split up into each one of its sides (shown in the picture below) H(t) L(t) B(t) $ 2ry dr + 4x?y dy 2xy dx + 4x?y dy + 2ry dx + 4x?y dy + 2ry da + 4x?y dy Parametrize each side of the triangle B(t) Σ te Σ Σ H(t) = Σ te Σ 1 Σ L(t) = Σ te Σ. Σ (use the most natural parametrizations and remember which direction you need to go) Express the line integral in terms of t 2ay dx + 4x?y dy 2ry dx + 4x?y dy + 2xy dx + 4x?y dy + 2xy dx + 4x?y dy Σ dt + E dt + Σdt .