Which of the following can be evaluated directly by the Power Formula of Integration x² dx (x3 +x + 3)2 x° dx x4 + 7 x dx J (2 - x4)4 x dx (x3 - 2)5

Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: (a) Integrate the following: 6. (i) (2Vx- 4) dx 1 (ii) 7-5x

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: x3 00 dx = (x* +4)2 0,

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Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 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: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: x2+1 - dx x4-x²+1

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Q: dx V4 - x - dx 2 8)

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Q: Integrate

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

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Q: (x2 - 4x + 4)4/3 dx -

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Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: (x² + 4)³/2 -dx

A: Given integral is: I=∫x2+432xdx Integrating it: Put:u=x2+4dudx=xx2+4dx=x2+4xdu…

Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: evaluate 1/(2x(x2-9)1/2 )dx    and what method did you use

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Q: Evaluate (i) [Hint: / 2xe" dx udv = uv - 3x (ii) dx x2 – 4x – 5

A: we have to find the following integral

Q: te the following: 2x dx x - 4 dx

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Q: Integrate the following: 3 1 x2-x3 (a) (b) 12x4 - dx [ (x2-02) a2); dx

A: Solution :-

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

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Q: 4x dx (1-x²)³

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