Suppose 4 0 2 8 * (3f(x))dx = 12 and -2 d[ f(x)dx = 2. Compute 5 5 -2 f(x)dx.

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A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

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A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

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Q: 14 6,¹ 3 Suppose f(x) dx 3 S f(x) dx = [ 14 = 15. Find

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Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

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Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: If f (5f(x) + 2) dx = 4, then Si f(æ)dx =

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A: In this question, we need to integrate the given function.

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

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Q: 11. x² +1 Find +3x+1 -dx

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Q: 4. x(x² – 1)² dx

A: Solution:

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: compute the higher derivative

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A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: 1. Show that | (4x - 6x + 1)dx = (4x3 - 6x + 1)dx + (4x3 – 6x + 1)dx

A: Given ∫154x3-6x+1dx=∫134x3-6x+1dx+∫354x3-6x+1dx

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A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0

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A: we have to solve the integration

Q: √(x + 3) dx √16-x²

A: Solution

Q: 2. f (x²-16) ²/2 dx x3

A: