2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

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Q: If f(x) is even and / (f(x) – 8) dx = 6, find f(x) dx. f(x) dx =

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Q: 9. If | f(x) dx = 20 and f(x) dx = 3.6, find f(x) dx.

A:

Q: 5. Second derivative of y = 1+t)< t2

A: Given: y = 1+t2t2 To find: Second derivative of the given function.

Q: Consider the function f(x) = 3x² + 30x + 83 Determine an expression for the derivative of f(x).

A: f(x)=3x2+30x+83

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: Compute f(x)dx f(x) = { 2x if x<1 4 if x 21

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Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: 4. Find the equation of a line tangent to f (x) = –x² – 4x at x = -1.

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Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

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

Q: 4 If ſ₁ ƒ(x) dx = 12, then ¹ f(4x) dx is equal to If ſ¹ ƒ(x) dx = 12, then fx f(x²) dx is equal to

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Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get

Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

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Q: 2 If $ fcx If f f(x) dx = 5 then and I f (3x-1) dx = ? I 2 5 f(x) dx = 39

A: We are given two definite integrals : ∫12 f(x) dx = 5   ,   ∫25 f(x) dx = 39 Now using these we have…

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

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Q: | (e-x + vx)dx 1. 2. x²)dx

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

A: