Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes S, S2, Są, and S, as shown in Figure 1.2 below; State the formulas to estimate the sum of the rectangles (R1,3 and R14) under the parabolic region S illustrated in Figures 1.3, 1.4 and the sum of areas of p rectangles. (1, 1) (1, 1) y-x S, Figure 1.1 Figure 1.2 (1, 1) (1, 1) y-r 4 Figure 1.3 Figure 1.4 /4 12

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Problem 19. 78 ain Evaluate the definite integral. -5 √5x + 3 dx =

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Q: QUESTION 7 Evaluate the following indefinite integral. 10 dx 10 10

A: Use basic integration formula: Integration X^n dx = X^(n+1)/(n+1)

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the area under the curve of the following function.…

A: Given: .To Do:Calculate area by,Method of partition.Definite integral.

Q: QUESTION 14 Estimate the area under the graph of f(x) = 1 + x from x= -1 to x=2 using three…

A: To estimate the area under the graph of fx=1+x from x=-1 to x=2, by using three rectangles and left…

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Q: IV. Find I (z - 22)dz where C is z(t) = -t + it? + 2i, t:2 - 1 =

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Q: 2x dx 67. 4

A: ∫xn dx = xn+1n+1+C ∫f(x) ± g(x) dx = ∫f(x) dx ±∫g(x) dx ∫a f(x) dx =a∫f(x) dx

Q: Problem 18  Evaluate the indefinite integral.  ∫((14sqrt(x^2-16)/x)dx=__________________ +C

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Q: Problems 30 - 31, find the equation of the tangent line to each graph at the point (1, 0). 30. y =…

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Q: Problem 4: Calculate using contour integral methods. Canada x² x4 + 5x² + 4 dx

A: We have to use contour Integration method to solve this integral.

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

A: Topic:- application of integration

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Q: How large do we have to take x so that 1/x

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