[/-) dz = O The integral is divergent.

Q: 2. [L-4) 5 (y+3)*

A:

Q: Evaluate the line integral -ydx + xdy along the curve C C : y? = 24x from (24, 24) to (0,0). NOTE:…

A:

Q: Evaluate the integrals in Exercises using integration by parts

A: The integration given to us is  ∫tan-1ydy            (1)

Q: Suppose an object moves in space with the position functionr(t) = ⟨x(t), y(t), z(t)⟩ . Write the…

A:

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: 3. Evaluate the improper integral: dx | Tale + 1)'

A:

Q: e (In z)°dæ Evaluate the Integral

A: we have to find the integration of f(x) f(x)=∫0∞ex2(ln x)2dx ∫udv=uv-∫vdu             u=(ln x)2…

Q: Find each integral by substitution J6x(3x +1)'dx

A:

Q: (1,0) (1,0) = | (x? – y?) dx + 2x y dy + i| - 2x y dx + (x² – y²) dy (0,1) (0,1) 1- x? + y? = 1

A: In this, We calculate the value of the given integral and find the answer in a/b+ic/d form.here…

Q: y*dx + x*dy = (N, – M,) • dA (м, - м,) ал

A:

Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: Evaluate the integral

A: The integral is given by,

Q: dx ,2 /9 – x² 2

A: Solution

Q: Evaluate the integral. 30 sin(40) do

A: I=∫e3θsin⁡(4θ)dθ→(1)∫sin⁡(4θ)dθ=−cos⁡(4θ)4+Cddxe(3θ)=3e3θ+C

Q: Use the Midpoint Rule to evaluate the integral fx-¹dx. Sx 1 O O O T N|W T 11133 113 21/3

A: Given integral is ∫12x−1dx. We have to evaluate the given integral by using midpoint rule. Here,…

Q: Find the line integral of f(x,y) = y e* along the curve r(t) = - 5t i – 12t j, - 1sts0. The integral…

A: Use parametric to integration