Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let z=√√4-x², which of the following integrals is correct using rationalizing substitution?

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

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Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

Q: Find [(42³ + 3x²) da dx + C

A: The given integral is

Q: 1. f4x-³ dx -3

A: Find the integral

Q: 3 -x Evaluate dx

A: Given : ddxe3x3-x2

Q: e2 6. - dx -Find 1

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Q: 4. 16x – 2x2 – 23 dx -

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Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: (2) Compute the integral and then verify that you got the correct answer by differentiation. (a)…

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Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: 10. Evaluate (4x-8)ex²-4x+3 dx

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Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

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Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: (5) Evaluate 75 2x -dx. 5x8

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Q: 12x5y'' + 8xy + 3y = 6x5 - x

A:

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: dx z/L1(zx — 6) вх І

A: The given integration is: ∫x149-x2172dx