Ask a New Question

Question

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles.
A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx]
Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = 7x cos(7x), 0 ≤ x ≤ π/2
11 years ago

Answers

Steve
well, you have the formula, so plug in

xi = 0 + k(pi/2)/n
Δx = (pi/2)/n

sum over k=0..n
11 years ago

Related Questions

What is the area of the region bounded by the lines x=1 and y=0 and the curve y= x-e^x^2? A. 1-... Which has more area, the region in the first quadrant enclosed by the line x+y=1 and the circle x^2+... Let A be the area if the region in the first quadrant under the graph of y = cos(x) and above the... What is the area of the region located between the graphs of y = -x² + x + 4 and y = 2? Thank you... what is the area of the region enclosed by the graphs of y=2- lx-3l and y= x^2-2x? What is the area of the region bounded by the graphs y=e^x, y=1, x=-1? 1. Area of the region between the graph of y=2x^2-3x and the x -axis from x=-3 to x=1 is a)62/3... What is the area of the region in the xy-plane bounded by the graphs of x=1995, x=1996, y=1997, and... What is the area of the region bounded by the x-axis and the lines x+y=24 and 3x-2y=12? Please sh... What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use