The accumulated change (or definite integral) of f from a to b is n- o 2 (x,*) Ax i = 1 f(x) dx = lim b — а where x, is the midpoint of the ith subinterval of length Ax = in the interval from a to b. Use this definition to evaluate the integral. x dx

Q: Evaluate integral of interval 1, 1/2 of (x-3 -8) d x

A:

Q: Sketch the graph of y = 4-√9-2² over the interval [-3, 3], and use the notion of net area to compute…

A: The given curve is:

Q: alculate the area under the curve f (x) = 3x² from x-6 to x=10 without using the fundamental theorem…

A:

Q: Inx dr Lim их 3.

A:

Q: rt01+sin x +00 -dx x2

A: Here we will use  integration by parts  ∫uv dx= u ∫v dx -∫dudx∫vdxdx

Q: Make the graphical representation of applying to evaluate integrals using Simpson’s 1/3 rule.

A: Simpson's rule is used for integration. It is numerical approximation of integrals(definite).…

Q: Use right hand rule to find area under the curve   f(x)= x2-x on interval [1,3]

A:

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…