Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+ In- X+ In- +C + C

Q: State the equivalents to (1/x+3) - (2/5x+1)

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Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

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Q: a. x − 1 _ x² + 2x − 3 x2 x+2

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Q: if x + 1 = x² 4 2x = ?

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Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

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Q: Compute -(-x - 3x²-x). ď² da²

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Q: 1 – 7x + 5x ² – 3x ³ + 2x * ): (x? + 3) + 2x * )÷ (x2 + 3)

A: Solve the division

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: dx 10. x³+4x 11. x2-1

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Write (x+2)^2+(y-1)^2=81 in its general form * O x^2+y^2+4x-2y-76=0 O x^2+y^2+4x-2y-26=0…

A: (x+y)^2= x^2+2xy+y^2

Q: 2. (3x+5)+(2x – 3)

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Q: Find f(5x5 + 6x²) dx

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Q: Divide (X3 + 8X2 + 5X – 14) by (X – 3) X2 + 11X + 38 + 100/(X - 3) None of these. x2 + 5X – 10 +…

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Q: Show that x -4 15a facter of x* - x + 2x* + 20x - 24.

A: Let suppose g(x) is the factor of f(x) ,then g(x) will completely divide f(x), i.e. remainder (f(x)/…

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: What is the product of -1+ x* and x2k + xk + 1?

A: In this question, we have to solve the expression using exponent concept. Exponent and Power The…

Q: Show that dx =に 3+ Vx x3/2 – 3x + 18VX- 54 In (3 + V) +C

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Q: [x" csc (x) dx -1

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: Multiply ◄ O x-2 x+4 x²-5x+6 x²+3x-4 O 1x-3 (x-2)(x+2) O (x-3) ² O 1 (x-3)(x-1) (x-3)2

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Q: #5 Compute the equilibrium values for each of the given DDS algebraically and graphically. a) x =…

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Q: -2 +x2 x2 +x3 x3 +x4 -1 +x4 -8 +s x3 || ||

A: The given system of the equation can be written in the matrix form as below.…

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: Differentiate y = (2x³ + 3x² - 1)5 30x(x + 1)(2x³ + 3x² - 1) O 5(6x² + 6x)+ 30x(x+1)(2x³ + 3x² - 1)4…

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Q: what is the coefficient of the fourth term of (1/x - 5) ⁴

A: First we calculate fourth term then we find coefficient of fourth term.

Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: Provo f'(A²) = [f²¹(A)]"

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Q: Evaluate tan³ (32)sec² (32)dr + C

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Q: Find the term of (x2 +x3)00 that has x185 in it.

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Q: V8 -x² 2 (x² +y²) dydx

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