Evaluate the definite integral by the limit definition. '6 Lox³ dx

Q: 97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of…

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Q: Evaluate [ ' x²(x³ + 8)¹ dx

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Q: Evaluate the definite integral: 6/x with the upper limit being 5 and lower limit 1

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Q: y = x³ + 4x - 15 at x = 0

A: Formulas to be used: 1) Newton's Forward Difference Formula The formula for the forward difference…

Q: Find the indefinite integral

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Q: Find the indefinite integral

A: We have the integral as I=∫x5-x2dx Let us consider that, -x2=t-2xdx=dtxdx=-12dt

Q: e -e Vx x +0 Let f(x) = D3 /x +eVr x =0 xDx 0.

A: We can find the function f(x) is continous or not and differentiable or not by following the below…

Q: integrals

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Q: 4 1-x² xp:

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Q: Ssin(Tx)cos (3Tx)dx

A: We will use the formula Sin (A) Cos (B) =1/2[Sin (A+B) +Sin(A-B)]

Q: Approximate the definite integral using the Trapezoidal Rule n/4 tan x dx Trapezoidal

A: Since you have not mentioned the value of n and which rule to apply clearly. We will apply first…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f\x) 14…

A: area of triangle=12×base×heightarea of rectangle = length × width

Q: | sec* x tan x dx

A: Given integral is ∫π4π2sec4x tanx dx

Q: Use the Midpoint Rule with n = 12 to approximate the value of the definite integral. Use a graphing…

A: The integral  is ∫022xe-xdx. The midpoint rule used to approximate an integral ∫abfxdx is:…