Partial Fractions w/ long division first 4.S x4- 2x3 + x2 + 2x – 1 dx x2 – 2x + 1 long division b/c P(x)/Q(x) and P(x) is Larger.

Q: 1x?x+y SS (x +2y + 4z )dzdydx 0 x x-y

A: Explanation of the solution is given below...

Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

A:

Q: 4x2 4x + 20 dx x² – 5

A: Given : The integral is ∫ x3 - 4x2 -4x +20x2 - 5 dx .

Q: Use partial fractions to find the integral. S 4-x 2x²+x-1 Step 1 Rewrite the polynomial as 2x² + x1…

A: topic- indefinite integral

Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

A:

Q: x/2+x/5=5/4

A: Given,

Q: x-x 7. 2x+12x x-4x +3 x-3

A:

Q: 5+2-5+p 13) 3. 3) 28

A: Given: The equation 53p+23=5+p2p, To determine: The value of p,

Q: Decompose the fraction 6 / (x+2)(x−4).

A:

Q: horizontal asymtotes of 8x2+2x+1 2x2+3x−2

A: The objective of this question is to find the horizontal asymptotes of the given rational function.…

Q: 2х3 — 15х2 + 16х-64 3. S dx (By Partial Fractions) 4x4 — 16х3+ 32х2

A:

Q: 1/3 x 3 + 7

A: Using bodmas  First bracket then division then multiplication

Q: S 3x +6 (1 + 8x + 2xzs dx

A:

Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

Q: 3x /5• (5/x - 5/2x)

A: Given function:

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: 0.5(5r2 + 3.2r-6) – (1.7r2 – 2r-1.5)

A: 0.55r2+3.2r−6−1.7r2−2r−1.5 Formula: -  Distributive propertyab+c=ab+ac

Q: 3/4(8y-9)<3

A: We multiply both sides by 4 first.

Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

A:

Q: 3. S 8x3 37x2 + 80x-32 4x4 — 16х3+ 32х2 dx (By Partial Fractions)

A: The given integral is: ∫8x3-37x2+80x-324x4-16x3+32x2dx

Q: 5x3 + x2 + 15x + 1 dx (x² + 1)(x2 + 3)

A:

Q: 5x - 9x +6 dx x - 2x +x

A: Solution of the problem as follows

Q: Partial fraction: determine the value of A.   (3x-1)/x2+x-6 =A/(x+3)+ B/(x-2)   a. 2 b. -1 c.…

A: In this question we have to find the value of A.

Q: 3x+ 14x + 14 x +4 dx 3)

A: