Recent questions in Applications of integrals

Calculus 2Answered question

Sonny Malone 2023-03-22

How to find the volume of a cone using an integral?

Calculus 2Answered question

Shirley Peck 2023-03-22

What is the surface area of the solid created by revolving $f\left(x\right)={e}^{2-x},x\in [1,2]$ around the x axis?

Calculus 2Answered question

Kelton Rogers 2023-03-15

How to find the volume of the solid generated by revolving the region bounded by the graphs $y=\frac{1}{x},y=0,x=1,x=4$, about the x axis?

Calculus 2Answered question

Lara Browning 2023-03-13

a) Show that the formula for the surface area of a sphere with radius r is $4\pi {r}^{2}$.

b) If a portion of the sphere is removed to form a spherical cap of height h then then show the curved surface area is $2\pi h{r}^{2}$?

b) If a portion of the sphere is removed to form a spherical cap of height h then then show the curved surface area is $2\pi h{r}^{2}$?

Calculus 2Answered question

Oscar Ramos 2023-03-03

How to find the centroid of the quarter circle of radius 1 with center at the origin lying in the first quadrant?

Calculus 2Answered question

marinacabello82g3 2023-02-18

How to find the volume of the region enclosed by the curves $y=2x$, $y={x}^{2}$ rotated about the x-axis?

Calculus 2Answered question

ice0ver133dvt 2023-02-16

How to find the volume bounded by x = 1, x = 2, y = 0, and $y={x}^{2}$ revolved about the x-axis?

Calculus 2Answered question

Jovanny Ray 2023-02-12

How to find the area of the surface generated by rotating the curve about the y-axis $y={x}^{2},0\le x\le 2$?

Calculus 2Answered question

London Lawson 2023-01-29

How to find the volume bounded by y=1 and $y={x}^{2}$ revolved about the y=1?

Calculus 2Answered question

Damaris Bradshaw 2023-01-29

What is the work done in using a cable that weighs 2 pound per foot to lift a weight of 800 pounds a distance of 500 feet?

Calculus 2Answered question

Celeste Barajas 2022-11-21

What are the applications of binomial distribution?

Calculus 2Answered question

Jefferson Booth 2022-11-11

Use a table of integrals to evaluate the following integrals. $$\int {\mathrm{cos}}^{3}xdx$$

Calculus 2Answered question

piopiopioirp 2022-11-04

Write an integral that requires three applications of integration by parts. Explain why three applications are needed.

Calculus 2Answered question

Kymani Hatfield 2022-10-17

Discuss two applications of second-order linear differential equations.

Calculus 2Open question

CH Hamza2022-10-16

Evaluate the line integral where C is the given curve integral c xsinyds is the line segment from (0 3) to (4 6)

Calculus 2Answered question

Hunter Shah 2022-10-12

Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they be found in a table. $$\int {\mathrm{ln}}^{2}xdx$$

Calculus 2Answered question

daniko883y 2022-10-01

Use a table of integrals to evaluate the following integrals. $$\int {x}^{2}{e}^{5x}dx$$

Calculus 2Answered question

ye1neh4 2022-09-27

Use a table of integrals to evaluate the following integrals. $$\int \frac{x}{x+1}dx$$

There are numerous applications of integrals in Calculus 2. One of them that will help you understand this aspect is an application of Volterra integral equation. As you will learn, these must be divided into two groups where you have the first kind and then the second kind. You can take a look at the questions dealing with integrals that will also refer to Fredholm integral equation with the fixed constant. You should take a look at several answers and seek a detailed explanation that will explain the role of the unknown function as well.