I flr. ») dy dx -1 Jo

Q: For the region bounded by x + y² = 20 and x + y = 0, decide whether to integrate with respect to a…

A: The given problem is to find the area of region bounded by given curves x+y2=20 and x+y=0.

Q: Q5- Sketch the region of integration and evaluate the integral: √3 / že√xdydx

A: Given: The integral is ∫14 ∫0x 32eyxdydx. To sketch: The region of integration. To find: The value…

Q: t sect df 2/ V3

A:

Q: Find the centroid of the region bounded by the curves y=2x-4, y=2x1/2, and x=1. Sketch the graph.

A:

Q: Sketch the region of integration and change the order of integration. So SN f(x, y)dyd.r f (x, y)…

A: The given integral is ∫04∫0xfx,ydydx. Use the limit values to identify the region of integration as…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.