Show that: -1 xb-1 In x dx b2 2-

Q: Find + 2x + 3 d x2

A: ∫(7x2+2x+3)dx=∫7x2dx+∫2xdx+∫3dx∫(7x2+2x+3)dx=7∫x-2dx+2∫xdx+3∫dx∫(7x2+2x+3)dx=7x-2+1-2+1+2x1+11+1+3x0…

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

A:

Q: Find if y dy et 2а?+3я — 2 -

A:

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: Find , if f = 1læ“ + 7y² ду 14y O O o 44x° + 14y 44x 3

A:

Q: 2x + 2y = 16 4x - 2y = 8 ||

A: The objective of the question is to find the values of x and y that satisfy both equations…

Q: Find (f 9)and indicate the domain of the quotient F(x)=5x*-20x and glx) = 3x²-1ax. %3D

A:

Q: Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16

A:

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Evaluate: f (3x2 - 20x)² dx

A:

Q: 5x – 4x3 + 8x )dx

A: One property of integrals that will be used is ∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx. Another property of…

Q: (2+1) x (9-?)=12

A: Just try to simplify and that's easy.

Q: $3000. 300-€ e

A: Given :e∫3300-tdt

Q: 1 x(4 + х)3dх 24

A: To evaluate the integral: ∫2426x4+x13dx Solution: Here lower limit of integral is 24. Upper limit is…

Q: 2C + 4D = [|

A: Given that : To find 2 C + 4 D:

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

A:

Q: Evaluate J - 11x + 10 (2x - 5)(x + 1) -dx + с

A:

Q: 2a +4aX+2b-ax=bx-C=D2x-8X-4 a:? vb=?, C:?

A:

Q: V (x²) -2xî Select one: True False

A:

Q: If 3+2(x+1)=6x what is x?

A: Given : 3+2(x+1)=6x

Q: √4x216x + 19 (x - 2)6 S - dx

A:

Q: Find all answers in simplest radical 7) 845 45°

A:

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

A:

Q: dx |x-1|

A: To evaluate the following integral.

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

Q: Compute (+4)2dx. f

A:

Q: (2x²– 4x + 4) dx Evaluate: -1

A: This is a basic definite integration problem

Q: d?y у-xV3 — 2х2; dx2

A: Here, the given function is: y=x3-2x2⇒y=3x2-2x4...(1)

Q: If x = 4, what is the value of x(17 - x)?

A: Given  X = 4

Q: Find 00 x² (x²+4) (x²+2x+2) dx

A:

Q: dx x² - 4x + 13 X

A: Given  ∫dxx2-4x+13To find integral:

Q: x+4 c) Evaluate dx х3 + 3x2+ 2х

A: We have to evaluate the given integral.

Q: Q5: Evaluate f(secx)³ dx

A:

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.