18. If x? + 2xy = y? then y' is x+y b. 2x + 2y a. y-x d. -x C. y 19. Evaluate S(3VE+ dx a. 2x + 4 V + C b.x Vã + 2 vĩ + C c. 3xvx + 4 Vx + C d. 3x Vx + 2 Vx + C

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

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A:

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A:

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A: Here I am attaching image so that you understand each and every step.

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

A:

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

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A:

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A:

Q: dx 4x2- 4x+5

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A:

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A: y=(x+2)3x2-4

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A:

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Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: 12 -6x dx 15

A: We are asked to solve the indefinite integral. The solution of the integration is as follows:-

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A:

Q: dp: 1. I+C -2 3 + C %3D 1/-

A: Solve by integration

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Q: 2xdx J2 x²-4x+8

A: Solution :-

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A:

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A: Given query is to find the integral.

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A:

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A: The given system of linear equations,The aim is to find the solution to the system of equations…

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)