Qy integration value Equal? @ (√x-1)² + ( 2 Q 2 (√x-11³ 3 @ → (√x - 1)³ + ( 3 Not of the above + C S (√x-1)² dx

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

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Q: -2 S₁² S₁² (²x²y^² + 2 (2x²y-² + 2y) dy dx 1 1

A: Given- ∫12∫1x(2x2y-2+2y)dydx To evaluate the given integral.' Here we will use the following…

Q: 6 5 2 2 Compute √(√x² + ²-3 + cse²x)dx.

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Q: (4x' - 6x) dx = 4x³ Evaluate

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Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: Implicit definition- solve for dy/dx 4x^2 +y^2+2x-3y+2x^3y=2+6xy

A: Here we will take derivative both sides with respect to x and then apply chain rule.

Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: (3x + 1)'3 dx

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: integrate (5x-3)/(2x+1)^(1/2)dx I tried to compute this with a u-sub where u=2x+1 and I got…

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Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

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

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Q: sinx

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Q: (x? + 3x — 45)dх J«+ 3)(х + 12)(4х — 3)

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Q: dy 5t vi (In(t) + 1) Vi dt

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Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

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Q: Y = √²n²√x+1

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

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

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Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx