In problems 4-7 use the definite integral to find the area 少 y=√x 4. x 5.

Q: 17. S In (2x+ 1) dx

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Q: "/2 cos* x dx /4 sinb x

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Q: 2.- In the following problem, use properties of the definite integral, either definitions or…

A: Follow the procedure given below

Q: 5. Determine the area below f (x) = 10 - 2x² and above the line y = 3. 11. 6. Determine the area…

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Q: . Determine the area below f(x) = 8x - 2x² and above the x-axis.

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Q: Problem 8. Let 0 < A< 1. Calculate the integral (1+r)2dz.

A: Given: Let us consider 0&lt;λ&lt;1 and Evaluate the given integral ∫0∞xλ1+x2dx .

Q: an Indefinite Integral. Show al S x ²³= 3x² + 5 X-3 d

A: Topic - indefinite integral We are given ∫x3-3x2+5x-3dxwe know that∫xndx=xn+1n+1+C∫1xdx=ln(x)+C

Q: J Te 1 (3 − 2x(1 – 3x)) dr. - - π/2 π/4 dä. / (√x - √/12) dz √ 2² v x²√x³+3 dx [(sec² (r) - csc²…

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Q: 15x - 2 3x²+12-1 dr

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Q: dx -10 x

A: We can solve the integration as below.

Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: In Problems 27-33, find the area of the region between the curve and the horizontal axis 27. Under y…

A: The given function is:

Q: The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of…

A: Total fencing is 39 feet and the total area of the plot is 180 square feet. That is,…

Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: Problem 3 Shade the region of area from z = -5 to z = 4. Next, using rectangles of unit width, give…

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Q: 1. Find the following definite integrals: 1 (a) / 3r*(3x* – 2)5 dæ 1 r2 (b) - 2² – 1 xe dx

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