Use the definition of the region area 4(x) = in Ση(x) Δε to evaluate the integral Note: You must perform the sum and apply the limit (write your answer to the sum and then evaluate the limit) [(x² + 6x-9) dx

Q: Find the area below the curve f(x) = √√4-x4 2x from x = 0 to x = √√2

A: The objective of this question is to find the area under the curve defined by the function f(x) =…

Q: Evaluate the definite integral by the limit definition

A: Here,

Q: Use the limit definition of net area to Find the area BELOW the function f(x)=2x2 over an interval…

A: Given: The function fx=2x2, To find: The area below the given function over the interval of 0,3. To…

Q: Let R be in the region in the first quadrantenclosed be the graph f(x)=sqrt cos(x), the graph…

A: The double integral over the region R bounded by the curve y=g(x) and y=f(x)  in the interval [a, b]…

Q: find the area of the region under the graph of the function f on the interval [4,10]  f(x) = 8x - 5…

A: Area of trapezium

Q: 6. Fill in the blank: The length of the graph of y = x² on [2, 4] is equal to the area under the…

A: y=x2 on the interval 2, 4. Differentiating with respect to x, we get dydx=2x Now length of the curve…

Q: Estimate the area under the graph of f(1) = over the interval [-2, 3] using ten approximating | I +…

A: The given function is fx=1x+4 over the interval -2,3 using ten approximating rectangles. Calculate…

Q: Describe all extensions of the identity map of ℚ to an isomorphism mapping ℚ(3rd root of 2) onto a…

A:

Q: Find the area between f(x) = x and g(x) = (x-2)2 %3D

A: The given two curves are fx=x  and  gx=x-22. Evaluate the intersection points of the two curves as…