Upgrade Your Applications of Integrals Knowledge

High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

Crancichhb 2022-08-02

Find $\frac{d y}{d x}$
y=14

Nelson Jennings 2022-07-28

Find $d^{2} y / d x^{2}$ for the curve given by $x = 2 \cos θ a n d y = \sin θ$

Baladdaa9 2022-07-25

Find $\frac{d y}{d x}$ for $y = x^{- 2 / 9}$

Ayaan Barr 2022-07-15

What is the average value of the function f(x)=18x+8 on the interval [0, 10]?

gaiaecologicaq2 2022-07-14

How to integrate $\tan (x) \tan (2 x) \tan (3 x)$ ?

racodelitusmn 2022-07-14

How do can you derive the equation for a circle's circumference using integration?

pablos28spainzd 2022-07-14

Integral of $\frac{\sqrt{x}}{x^{2} + x}$

Alissa Hancock 2022-07-14

How do you find the average value of $f (x) = \frac{1}{x^{2} + 1}$ as x varies between [-1,1]?

Loriezon Claveria2022-07-13

ttyme411gl 2022-07-13

What is the surface area of the solid created by revolving
$f (x) = \ln x, x \in [2, 3]$ around the x axis?

sebadillab0 2022-07-12

What is the average distance between a point in the interval [-4,3] and the origin?

Keenan Santos 2022-07-12

What is the arc length of the curve given by $f (x) = 1 + \cos x$ in the interval $x \in [0, 2 π]$ ?

Ryan Robertson 2022-07-11

What is the difference between the shell method and disk method?

Augustus Acevedo 2022-07-10

How do you find the average value of $f (x) = \frac{1}{x}$ as x varies between [2,3]?

veneciasp 2022-07-10

How to integrate $\int \frac{1}{\sin^{4} x \cos^{4} x} d x$ ?

Caleb Proctor 2022-07-10

What is the average value of a function $\sin x$ on the interval $[0, \frac{π}{3}]$ ?

Addison Trujillo 2022-07-10

Evaluating the trigonometric integral $\int \frac{\cos x}{1 + \cos x} d x$

2nalfq8 2022-07-10

What is the volume of the solid produced by revolving $f (x) = 7 - x, x \in [0, 2]$ around the x-axis?

dream13rxs 2022-07-09

What is the arclength of $f (x) = x^{2} e^{\frac{1}{x}}$ on $x \in [0, 1]$ ?

desertiev5 2022-07-09

The area under the curve $y = \frac{1}{x}$ from x=8 to x=10 is revolved about the x-axis. What is the volume of the solid formed?

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.

Calculus 2

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