E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2 20 g(x) dx = 6. Evaluate the following integrals. axex- 2

Q: xe*dx 15. . (1+ x)²

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Q: S 3 (x + 1)(x² + x) -dx

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Q: 6 5 2 2 Compute √(√x² + ²-3 + cse²x)dx.

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Q: 2) Sxsec²(4x² – 5) dx. 3) S3x Vī– 2x² dx .

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Q: (x² (а3 — 2)da 4x +

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Q: 0 0.6 x² -dx √9 - 25x²

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Q: (3-5x) 2. (3- 1y(r – 1) d (3х - 1) (х —1)2

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Q: X 2 Find x² +1 -dx

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Q: Duf(3, -1) = 1 10 2 5 ≈ 0.07.

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Q: x² – 10x – 5 dx |x- 1)-(x² + 1)

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Q: S. 9 V1-x

A: An integral function is given

Q: S dx 2 (1+x²)²

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Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

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

Q: 5x*dx V1 – x³ .5

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Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

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Q: V- 2 dx +1)

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Q: f(4x + 1)dx if f(x)dx = 1. Find Enter the exact answer. f(4x + 1)dx

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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: Evaluate /x* V5 - x*dx

A: We have to evaluate the integral: ∫x35-x2 dx Rewriting the integral, ∫x35-x2 dx=∫x2x5-x2 dx Now…

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: x´ + 2x x' - x + x - 1 -d- .3 2

A: Given integral is ∫x2+2xx3-x2+x-1dx

Q: 2 [(3x² + 1)(x³ + x)² dx [(3x + 8) ¹¹ dx 11

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Q: -dx x +1 2 5.

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Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

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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: Si dx 2 x² - 4x+8

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Q: 312 dx x + 1

A: We have to find the value of ∫x3/2x+1dx