Which of the following can be determined given 3 3 3 [ f(x) dx = 5₁ g(x)dx=7, and 1 [n(x) dx = -5 ₂3 (A) (f(x) + g(x) + h(x)) dx 3 B f (4f(x) +9h(x)) dx 4 Ⓒg(x) dx 4 3 Ⓒ [[F(x) - g(x)) dx

Q: 1. Which of the following is incorrect? a. b. [(f(x) · g(x)) dx = [ f(x) dx . [ g(x) dx [(f(x) +…

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Q: 2. [2x(x²-1) dx 3. 4 √(2x² - 5x+3)( 21² 5x² + 3x) a dx 3 2

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Q: 6 7 6 ppose that | f(x) dx = –3, / f(x) dx = 2, g(x) dx = -4, ar -2 g(x) dx = 1. luate the…

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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: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

Q: 2.2 Given f(x) dx = 10 and ſº g(x) dx = −2, evaluate [g(x) = f(x)] dx b. [f(x) + g(x)] dx ₂2g(x) dx…

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Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

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Q: xp z/1 (1 − 1-x7)x^ S 4.

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Q: 11 6." Find 11 ["18 [8f(x) g(x)]dx if [8f(x) — g(x)]dx : 11 [." f(x)dx = 5 and 11 S g(x)dx = 7.

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Q: Is the attached question true or false? Please explain.

A: To show the below property is true or false:

Q: -(X-3) e dx

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Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: 2 [+√²-1)dx (4) »

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Q: Find 5 f" 19 xif [ 15 xx 16 f(3x + 4) dx if Enter the exact answer. f (x) dx = 1.

A: To find the value of given definite integral

Q: 1 7. 2x (x2 – 1) dx -1

A: Distribute 2x

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

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: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

Q: Find (|x+1|dx -3

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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

Q: Find [9f(x) – g(x)]dx = i if f(x)dx = 2 and g(x)dx = 30

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Q: Suppose thatƒ(x) = d/dx (1 - √x) and g(x) = d/dx(x + 2). find ∫g(x) dx

A: Given: fx=ddx1-xand gx=ddxx+2 To Find: ∫gxdx Concept: Integration is an inverse process of…

Q: √₁² x (1 – x²) dx

A: Topic = Integration