Set up the definite integral that gives the area of the region. Y₁ = x² - 7x y2 = 0 S y 6 -8 -10- -12 dx 2 X 6 yl 832

Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: ollowing intogral: r 2x--x+1 dr

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Q: 16. Find (1) the net area and (ii) the area of the region above the x-axis bounded by y=121-x².…

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Q: Consider the following. y = x2 y = 2 – x -4 -3 y -1 -1 (a) Find the area of the region by…

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Q: 46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: Calculate the following integrals-: (2 – 2r² + I dx "9x - 3x + 1 dx 1- 2- 16r - dx 4x² – 4x + 1 3-…

A: As per guidelines we are suposed to answer the first three questions. Please repost the other…

Q: Find the area under the curve between x-2 and x=-1 for the curve f(x)=(7 – x²)d

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Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we…

Q: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis.

A: First draw the region defined by these curves. If the region is bounded, then use the area under the…