State the form of the partial fractions decomposition for the following anti-derivatives: X-1 Example: ·S X-1 (x + 2)²(x-3) -dx = x² - 1 (x² + 4)(x-3) b. J. -dx = x - 3 (x² +9)(x²-4) dx = A (x + 2) = dx = S₁ (x + 2)(x-3) B (x - 3) -dx

Q: x2 + 39 f(x), g(2) h(x) tion decomposition of can be written in the form of x3 + 3x? x2 x + 3

A: Please refer to the image below

Q: Example 2 : Form the partial differenial equation by eliminating arbitrary function from z= f(y/x).

A: We have given function z= f(x/y)  We have to form the partial differenial equation by eliminating…

Q: Expand the rational function 16 / (x2+x+2)(x−1)2 into partial fractions.

A: We have to

Q: x -x-1 dx Use partial fraction decomposition. '(x+5)(x° +4)

A:

Q: x? + 50 f(x) can be written in the form of 9(x) h(x) + I + 2° The partial fraction decomposition of…

A: Given

Q: x2 + 61 f(x) can be written in the form of h(x) g(x) + The partial fraction decomposition of x3 + x2…

A:

Q: Compute the first-order partial derivatives of the function. 3x W = (x² + y² + z²) ⁹/2 (Use symbolic…

A: