2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 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: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: ∫ x^2√18-x^2 dx

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

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Explain why the Power Rule cannot be used to evaluate the integral (2x4 − 5)8(8x)dx

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

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Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.

Q: 2x2-6x+8 3-x-V 1-x² The value of the integral dx is

A: We have to calculate the given integral

Q: [5x(4-2x²) dx

A: To evaluate the given integral

Q: 10. Evaluate (4x-8)ex²-4x+3 dx

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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 -3/2 x74] x dx

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

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Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: (3) S 4-x² dx

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Q: TT/4 3284 ;dx 4+4x2

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Q: dx z/L1(zx — 6) вх І

A: The given integration is: ∫x149-x2172dx

Q: 1 2 (2.) } ² dx 2 2 ²x + 4x + 5

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Q: || д хр -XS - 7

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