Use the areas shown in the figure below to find the following. y = f(x) Area =0.7 Area =15 a Area =2.6 (a) (b) (c) (d) f(x) dx = i

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A: 5. (a) We will evaluate the integral ∫5x2-x-4dx

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Q: Find the area bounded by the following curves. y=x", x= -1, x = 2, y= 0 The area is (Simplify your…

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Q: Q.2 Use the area shown in the figure to find: a. f(x)dx b. f(x)dx c. f(x)dx d. f(x)dx y fx) Area =…

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Q: A = Find the area A of the shaded region where b = 7. y y= |x| 0 -b b 0170

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Q: Find each antiderivative using Table 1. 1 -dx 81 dx 19. 20. x(7 - x)

A: 1. We have given ∫1x2-81dx      Let  I = ∫1x2-81dx    Consider  1x2-81 = 1(x - 9)( x + 9)…

Q: Derive the following expressions with respect to time (t). For both x and y. y ((vy(t), vy(t)). to…

A: we have to derivate the given the equations x 1= L1cosθ1 +L1cosθ2 and y 1 = L1cosθ1 +L1cosθ2

Q: Find the area of the shaded region. X y y=2e* x=2 =2x-1 X

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Q: Q.2 Evaluate : P;(x)dx=

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Q: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

Q: 1.557 B) In (x) dx + | (2 – x) dx 1.557

A: Given : The equations of the curves are y = ln (x) and y = 2 - x and about x - axis.

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: -3 L 2. x+x² (x - 1)(x² + 1) dr

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Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: - 5 Fill out the blank: x (x – 3)² dx = 3(x – 3)3 dx 2 14 -5 (©) 10 D -8

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Q: f5, (ix)4 6″ (x-6) dx = =

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Q: 63. y = 1 + 2r + xe"; a = 0 %3D II

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Q: Find dy of the expression (xy)* = e %3D dx

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Q: 2 In? x dx

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Q: dy given that y= Vx² (x – 4) dx la) Find %3D

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