The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by using geometric formulas. 4 3. (3, 2) (4, 2) 2 (11, 1) 2 3 4 5 8 10 11 -2 -3 (8, -2) (a) -7(x) dx (b) 6(x) dx (c) 8f(x) dx 11 (6) " (d) -4f(x) dx 11 (e) "2x) dx 10 4f(x) dx

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

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Q: 00 22 ex e²x +3 dx

A: to find out the integration.

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A: Expand log series

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A:

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Q: Determine Dx[x(x-2)²]

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Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: x² – 10x – 5 dx |x- 1)-(x² + 1)

A:

Q: S. 9 V1-x

A: An integral function is given

Q: S dx 2 (1+x²)²

A:

Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: Evaluate S x³ (2 – x)² dx

A: Given: ∫x32-x2dx

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

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

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Q: .2 dx 6. (x-1)3

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Q: 3 - dx x² – x - 2 (1) (ii) fx'e* dx

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Q: Evaluate I = / a*. g³ Vx² – 3 dx

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Q: Compute the following. S(24x-8) (24x -8)(6x²–4x – 9)ª dx

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

Q: dx 3 /x + Vx

A:

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A:

Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

A:

Q: Evaluate f (e* + 2x)² dx

A: We need to evaluate ∫ex+2x2dx. So,                ∫ex+2x2dx=∫ e2x+4exx+4x2dx=∫ e2xdx+∫ 4exxdx+∫…

Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y