2 (x-a)を

Q: dx J (x² + 2x – 10)²

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Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: m(x) = x /-5 , what is m(20)?

A: Given that  m(x) = x/(-5) To find  m(20)

Q: 1 + e1x+10 + 4" +x – 5) dx + xA 4x-

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Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find *: (a) 4x°y³ + 2x³y-y-2x-4 0. %3D

A: Given  4x5y3 + 2x3y - y - 2x - 4 = 0 We have to find dydx.

Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

Q: [f(a)]² =

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Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

Q: (2t+1)(2t-1) dt. 4. S

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Q: 17 (4D? + 4D + 1)y = 0

A: It is differential equation problem

Q: 3tan(x)=2sin(2x) from [0, 2pi)

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Q: 4 1+ w ? + jw6

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Q: S(x+ )´ dx 2 1 X X.

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

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Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

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Q: 2-5 Secxtanx edx 4-Sečx

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Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

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Q: 7x2 + 15 dx. x2 + x Compute f

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Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: 12. Find m/R. (&x - 12) (3x + 5)

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Q: Trigo Substitution

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Q: -4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN…

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Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

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Q: S 1 (x + ²)² + ( √ 39 ) ² 2 dx

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Q: Pind Parckial Fraction S+ 2un

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: 2х + 1 J (x – 2)(x – 3)²ax

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Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

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Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: e2y (е) dy |19+ edy)

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Q: x3/2 9. J Tx+1

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Q: んN-S dz -62+13 tan 2x Ycas 2x -a5

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Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: x2 (C) S²_₁₁√x+2 -1 dx

A: To find ∫-17x2x+2dx