2xe-Ydx + (2y – x²e¬Y)dy, C is any path from (1, 0) to (3, 1) (x, y) = Evaluate the integral. Need Help? Watch It

Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: Evaluate the following integral, where R is bounded by x = 1, y = 2x + 4, and y=-x-2. SS₂² dA R

A:

Q: Let Find A = x³y 1-2xz] + 2yz k Vx(VxA).

A:

Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: Find ¹₁ (5z + 2y)dA where D = {(2, y) | z² + y² ≤ 16, z ≥ 0}

A:

Q: Evaluate (r(t) · r1 t))l-2 where r1(t) = (t³, t“, t³), r(2) = (0, 3, 1), and r' (2) = (2, 4, 5) 42 O…

A:

Q: Use a substitution of u = r to integrate : dr.

A:

Q: Let F(x, y, =) = (6x° In(5y² + 9) + 4=5) i + ( 10yx + 7:)j + (20xz4 + 7y – 37 sin 72) k 5y2 + 9 and…

A: To evaluate

Q: Let F = 10xe³i+ 5x²e³ j and Ğ = 10(x − y)i + 5(x + y) j. Let C' be the path consisting of lines from…

A:

Q: Evaluate (423 + 3y? + 2x)dV B B = {(x, y, z) |0 < x < 8,0 < y < 3,0 < z < 6} %3D

A: We have to evaluate the integral                             ∬∫B4z3+3y2+2xdV where…