c. f y dA the region is bounded by the graphs y = -v-8x – x² ; y = -V-4x; x = 0 and x = -4 for {x ER: -8

Q: Sketch the region of integration, then change the order of integration and evaluate 256 4 1 dxdy. x5…

A:

Q: x = 5y2,  x = 2 + 3y2  Find area of region

A: Question :x = 5y2, x = 2 + 3y2 Find area of region

Q: Solve the area bounded by y3 + 10y + 5 = x², the y-axis and the lines y=0 and y=3 *

A: Given:  The boundary curve1. y3+10y+5 = x2  OR x = ±y3+10y+5 2. y=03. y=34. x=0 y-axisThe given…

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

A:

Q: Find the area of the shaded region. 6) 8 10 x

A: Solution: The objective is to find the area of the shaded region

Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: Find the area of the shaded region

A: here given curve represent normal curve

Q: Solve by integration: What is the area of the region enclosed by the curve y=x(x-1)(x-2) and the…

A: See the attachment

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.