Apparent discrepancy Resolve the apparent discrepancy between (x – 1)² |x + 2|| In 6 dx + C and J x(x – 1)(x + 2) In |x – 1| In |x + 2| In |x| + C. dx + x(х — 1)(х + 2) 3 6. 2

Q: True or false: The coefficient of x4y7 in (3x – 4y)11 is (2)347. True False

A:

Q: - x² – 3x – 8 da (а — 1)(ӕ + 1)*

A: Solution: The objective is to find the value of the given integral

Q: 2. What is the inverse of y = (x + 2)2 - 4? Format ▾ Font T Size - BIUS x₂x² 99 A- A

A:

Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

A:

Q: 18 16х + 17 dx Evaluate

A: ∫xndx=xn+1n+1+C where n≠-1

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: Find [(5x + 4y)dA where D = {(x, y) | a² + y² ≤ 4, x ≥ 0}

A:

Q: Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

A:

Q: 5-A] [CLO 1] Suppose that x, y, z € R. Expand the expression so that it is written without…

A: The expression is given as  (2x+3y+1)(8x-5y+3x+5).

Q: dy Calculate . You need not expand your answer. 3x -6 y = (x– 3 )(x – 1)(x – 3) О а. 3(х - 3)(х…

A: Given,

Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

A:

Q: 21 _) P') pludx= чи (и+1) сеn+ л 2 и+31 и+1

A:

Q: P4: x3 (x² + 1)3

A: Use the algebraic substitution and solve the integration.

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: Evaluate (4x – 6x +1) dx, where A is a constant and A > -2. -2 O 443 – 6A + 20 O A4 – 3A2 + A - 2 O…

A: To evaluate ∫-2A4x3-6x+1dx

Q: 2π (9ピ)1 dt (18も)+(18ピ)

A:

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

A:

Q: X= y = Determine x and y such that 1 x-y 3 [(4 4 4 ] + [* 1 2 1] = [(1 2x+y 0] -1 0 x 4 4 3]

A: Step 1: Step 2:

Q: x2 dx (x– 1)3 1 In|x-1|- X-1 + C 2(x– 1)? 2 In|x-1| 1 +C 2(x – 1)2 X-1 2 In|x-1|- X-1 1 O Inlx- +C…

A:

Q: Find the equations of the asymptotes of R.

A:

Q: .2 x +9 dx J (22- 1) (a2 + 4)

A:

Q: Which of the following is equal to | (x6 – 7x)*dx 1 A (x5 – 7)5 +C - 25 B (x6 – 7x)5 + C - 1 (a6 –…

A:

Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: Q4 Integrate the following: (a) 4ln|x³| + C x3 dx (b)+C 4 (c)++C (d)+C

A:

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: Sy + 2(x – 3) = 0 5) { 2x = -y – 3 ||

A: We are going to solve the variable

Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: a) f(4x)dx x)cx

A: ∫02f4xdx Now, solve the above integral, ∫02f4xdx=∫01f4xdx+∫12f4xdx=f4·1-f4·0+f4·2-f4·1=f8-f0=1-0=1…

Q: 1-x+2x²–1 r° dx 1(r²–1)² xp-

A: Given

Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

Q: S₂ 10 x 4x²8x +9 in14 (x-1)² +51 + √5 tan¹ (²²) + C Option 1 In 14 (x-1)² +51 + √5 tan¹ (2x = ²2) +…

A: SOLUTION-