2x 3) When the integral order of dy dx is reversed, the integral becomes the following formula : dx dy y/2 D) LL dx dy dx dy Jy/2 A) dx dy B)

Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x' from (0,0) to (1,1).…

A:

Q: Evaluate the integral (2x+3y) dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A: To Evaluate: I=∫C(2x+3y)dx+(6x-y)dy along the parabolic arc y=x2 from (0,0) to (1,1).

Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy dx

A: Given: ∫-40∫x+42x+4siny3-3y2dydx To do: Evaluate the given double integral.

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

Q: Evaluate iterated integral.

A: ∫03∫45xx2+3ydydx

Q: 2z •In a 5. xe¯Y dy dx dz

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Evaluate the integral (2x +3y)dx + (27x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A:

Q: Evaluate the integral / (12x + 3y)dæ + (3x – y)dy along the parabolic arc y = x² from (0, 0) to (1,…

A:

Q: Evaluate the integral (12x + 12y)dx + (9x - y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A:

Q: Evaluate the integral / (2x + 15y)dx + (27x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A:

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: 2 dy dx Evaluate the integral: 1+Vx? +,

A:

Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

Q: Evaluate iterated integral.

A: Given, ∫01 ∫36 xx2+3y dx dy

Q: Evaluate the integral / (2x + 9y)dx + (6x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A:

Q: Particular integral of dy +3 dx dy + 2y = e-2a + sin is dx?

A:

Q: Calculate the iterated integral. 2 (6 7e* + 3y dx dy

A: From the given problem: I=∫02∫067ex+3ydxdy So, we can also write as: I=∫02∫067ex·e3ydxdy

Q: Evaluate the iterated integral. (3x + 4y3) dx dy

A:

Q: 2x Reverse the double integral dy dx , to obtain 0. Select one: a. ry/2 dx dy x 0. b. 2 2y dx dy 0.…

A:

Q: Evaluate the integral / (10x + 15y)dx + (18x – y)dy along the paraboli - arc y = x² from (0,0) to…

A:

Q: Evaluate the double integral : 9. dy dx 0, 22

A:

Q: raluate the double integral : (x + 2y – 2) dy da

A:

Q: Evaluate the integral (2x +3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A:

Q: Evaluate the iterated integral. dy dx -3 9 7 dy dx i -3

A: Double integration

Q: dy dx=? 3.

A:

Q: Evaluate the integral (8x +12y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A: Topic:- integration

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabo arc y = x² from (0,0) to (1, 1).…

A: Solution is below

Q: Evaluate the integral / (8x + 3y)dx + (18x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A: Explanation of the solution is given below....

Q: e following integral: 23 8xyz dz dx dy. 120

A:

Q: Evaluate the exact value of the multiple integral. 3z (2y 24 sin(2x) dx dy dz -y

A:

Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A:

Q: the double integral dy dx Evaluate 2.

A:

Q: Evaluate the double integral. (x - y) dy dx (x + y)3

A: To compute the double integral, ∬f(x,y)dydx, first integrate the function with respect y, while…

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

A:

Q: Evaluate the integral (6x +12y)dx + (6æ — y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: Let us evaluate the given integral in the next steps.

Q: Evaluate the integral (8x +9y)dx + (3x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: We can observe that x is ranging from 0 to 1. We have the following. So,…

Q: show y=3x+cos3x is a particular integral to d^2y/dx^2 + 3dy/dx +2y = 6x-7cos3x-9sin3x+9

A: To show: y(x)=3x+cos3x is a particular integral to d2ydx2+3dydx+2y=6x-7cos3x-9sin3x+9.

Q: Evaluate the integral; 11 dy dx 1+ 3y3 0 vx

A: Change the order of integration

Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

Q: Evaluate the iterated integral. (8x – 2y) dy dx

A:

Q: 4 dx dy y. exp 1 0,

A:

Q: Evaluate the integral (2x+3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A:

Q: Evaluate the triple integral 5 z sin x dy dx dz 3.

A: Given:

Q: Evaluate the integral / (8x + 18y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A: We have to find value of given Integral along given Curve.

Q: Evaluate the line integral / (4x + 8y)d.x + (4x – 9y)dy along the curve C : x = 10 cos t, y = 20…

A:

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to…

A: For the arc y = x2 and the range of x from 0 to 1. So, dy = 2x dx. Now,…

Q: Supply the missing integrand and limits of integration. 5 a) S S,2 6x²y dxdy = dy -5 сx/2 b) S S²…

A: We have to find the missing integrand and limits of given integration.

Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1,1).…

A: Given

Q: Evaluate the integral (12x + 12y)dx + (9x-y)dy along the parabolic arc y = x from (0,0) to (1,1).…

A:

Q: Evaluate the iterated integral. 5 2 y dy dx 10 Vx+y 5 2

A: Given, I=∫15∫02 yx+y2dy dx To Evaluate I.

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.