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

Q: 4 4 - If |f(x)dx =7, find the value of 1,2f(x) – 3 dx. 2 2

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Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: 5. f(x)=xe" , find fInx. f'(x)dx .

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Q: s (2-x)° 3 In (4x) dx х) dx

A: We need to evaluate ∫13(2-x)2ln(4x) dx Now using integration by parts, we get

Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

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Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Evaluate o dx -dx . x²+1

A: Integration

Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: x²(In(x))² dx

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: 13. S: 5x dx x5-3

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Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: 7. What is dx (x six(x)?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below

Q: '5 If f(x) dx = 12 and f(x) dx = 3.7, find 3 f(x) dx.

A: Given :

Q: Evaluate S x³ (2 – x)² dx

A: Given: ∫x32-x2dx

Q: (a) S v16 – 9x²dx using th - (b) dx using thes V9-x2 dx using the subs

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Q: 2 + 3x + x) dx . 3x² + x) t 3

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Q: 10. fS'(x)dx -4

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Q: 3 y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

A: Given function is                                                        y=2x3+5x we have to find…

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

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Q: x(x²-x+2) dx is equal to 3

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Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: S(2-x) In(4x)dx

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Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: An appropriate substitution for 2x dx is V4 – x2

A: The given integral is:∫2x4-x2dx

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: '5 '5 If f(x) dx = 8 and f(x) dx = 5.8, find f(x) dx.

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Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

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Q: (#9) S x2 dx V16-x²

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Q: 2) Usc the product rule to find the derivative of y= (4x+5) (x² 2x)

A: The given expression is : y=4x+5(x3-2x)             …(1) If y=uv Applying product rule on above…

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: أ 12, x > 1 (b) ) 5 f(x) dx

A: According to Bartleby's guideline, we can only solve three subparts of a question. Please post again…

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: Evaluate ſ _dx V16-x 4-x

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Q: 13) [[sech x – csch x }°dx

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Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: Number 18

A: Here we use trigonometric identity and u substitution.

Q: 7. sech²(Inx) dx X

A: Let's solve given integral.

Q: fo³x² 10 xx(In x + 1) dx

A: The given integral is  ∫0∞x-xln x+1 dx

Q: egral f x²+x+2 dx (x-1)(x²+5)

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Q: Q2- Evaluate 1- L,(x + 2)*e=x+2)dx.

A: