Area under the curve problem using trig

Question

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.)

g(x) = 5 sin x, [0, 𝜋], 6 rectangles

Asks for left and right endpoints approximation area.

Answer 1

Greetings,

You really need to draw this one out so you can see the rectangles. The width (if they are uniform) is pi/6.

For the right side draw the rectangle such that the upper right corner hits the function (and repeat). Then find the area of each rectangle and add them up :)

Same idea for left side sum (I recommend redrawing the function to avoid confusion). Good luck :)