Se6m sin m dm Integration by Parts m3+4m Algebraic Substitution (1-m*)2

Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

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Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: Integrate S (2x+1) Staz+X+4) dx

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Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: x2+1 - dx x4-x²+1

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Q: dx V4 - x - dx 2 8)

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: (2x+9 9 Jex dx

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Q: I [20 / (e(8-10x) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O…

A: ∫ex dx =ex+C

Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y

Q: solve the ODE : xydx + ( x^2 + y^2 + 1 ) dy = 0

A: Solution: The objective is to find the general solution of the given differential equation

Q: 10 ii) J1 x(10+lnx)3 dx

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Q: Compute 1 2te-82 dx. x4

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Q: Sel+x3/2 Vx dx ,1+3 X,

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Q: rtan r d Vt3 +4 dt dx 1/a

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Q: 11 .7. Determine: / 3 (2 – 5x')"(7xº – 15a²)dr J 3x+5

A: We will evaluate the given integral.