(a) (b) (c) (d) (e) (f) 10 [¹0 FO 75 25 [²5F(X) 450 f(x) dx 25 -75 *35 f(x) dx [ 10 f(x) dx (X 35 [35F f(x) dx 35 [351F If(x)| dx (x) dx

Q: (12) Find the Value of b such that: [3x² dx = 27 (A) 6 (C) 9 (B) 3 (D) none of these 4

A: Step 1:To find the value of b such that ∫0b​3x2dx=27, we need to solve the definite integral: Step…

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Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

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A: Solve the following

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: x +1 dx | (25 – 12) 3 2

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A: The given integration is

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A:

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A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

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A: Given; ∫x2-1x3+xdx=∫Ax+gxdx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 10. ir f(x)dx 5 and g(x)dx =-1, then (a) f(x) 2 g(x) r + g(x)) dx = 2 (e) f(x). g(x)dx = -5 (b) (d)…

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A: (b) The integration is: ∫442fxdx To find the value of integration.

Q: Please

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Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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