Use geometry to compute the value of the following integrals (this is not asking about total area). Be sure to provide a graph of the function and explain how you used geometry to compute the value of the integral. -3 e dx V25 – x2 dx (c) L,3 3 – 2x dx

Q: 1 x² + 6x + 12

A: Integrate: ∫1x2+6x+12dx

Q: Use a change of variables or Table toevaluate the following definite integrals.

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Q: Given the function y z²+z+1.5, determine the area under the curve from the y-axis to the point where…

A: Given Function

Q: Jse your calculator to graph r = 2 - cos (0). Set up the integral to he area inside the graph above…

A: The given polar curve is r=2-cosθ

Q: 3. Evaluate the following integrals by interpreting each in terms of areas. Check your results with…

A: The integral ∫-224-x2dx. We have to evaluate this integral.

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: Use Table shown to rewrite as the difference of two integrals.

A: Given integral, ∫162x3-4xdx          ...(1)

Q: v(t) 0. -5 -10 T 2.

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Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

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Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: Evaluate the integral √² (²2/1 + ²)² = 24 dr= 24 7 dr.

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Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: Choose the integral that represents the area of the shaded region.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: rdr a. I+ 3 b. 3*dz | VI (2 - r)* dz с.

A: In this question we have to solve Integration.

Q: Directions: use geometry to write a general area function for each integral. S, 2 dp a. -4 2 4

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