21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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A: Integrate

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A: NOTE: Refresh your page if you can't see any equations. . now substitute

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A: Here the given Now use the property of definite integral as

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A:

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A: Here I am attaching image so that you understand each and every step.

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A: Proceed as shown below...

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A: Here we solve the integration problem.

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A:

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A: Given,            r(x) = 9x2 + 5x - 3

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A: Integrating a function within specific limits of the variable is called definite integration. The…

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A: ∫1x1+x52dx

Q: Calculate the following integrals a) S .3 dx;u = x³ – 1 | Vx3-1 3x b) S dx; u = e3x +1 e3x +1 c) S *…

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

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A: The given integral is,

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Q: find the derivtive of f(x) = x 2

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Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of df-1 at x = 1. dx

A: We have given function;