Illustrate the integral graphically and describe what the integral represents in terms of areas. (x- 3)exdx

Q: Find the area under the curve y = 5 over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area…

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Q: Graph and please explain also. Using integrals, find the area bounded by the following:  f(x) = 2x2…

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Q: : : 2. Find the area above the x-axis bounded by the function f(x) = -x² + 2x + 3 and the x-axis.

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Q: Find the area between two curves f(x) = x² + 3x and g(x) = 6x.

A: The region bounded between the curves fx=x2+3x and gx=6x

Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

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Q: 1 dx 1 (x+2)5/4 1

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Q: Give an example showing how to use rectangles to estimate the area under a curve.  Then use…

A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: Find the value of a and b if the curve +b) touches the x-axis at x=2 and line y=2x at the origin.…

A: Given curve is y=x(x-2)(ax+b) The curve touches x-axis at x=2 and the line y=2x at the origin. The…

Q: Concept Check: Evaluate the following integrals: 1. f(x¹ - 5x³ + 6) dx 2. Sv (1-1/v²) dv 3.…

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Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: x dx 24) (7x² + 3)5

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Q: I need an explanatory solution thanks. Find the area between  x3+3x and  3x2-x

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