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

Q: Evaluate the integrals in Exercises using integration by parts

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

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

A:

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

A:

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: 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