Upgrade Your Applications of Integrals Knowledge

High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

Concepcion Hale 2022-01-07

Evaluate the integral.
$\tan x \sec^{3} x d x$

Charles Kingsley 2022-01-07

Evaluate the integral.
$\int \frac{1}{x (x - a)} d x$

Judith McQueen 2022-01-07

Evaluate the following indefinite integral.
$\int \cos^{4} (x) \sin (x) d x$

pierdoodsu 2022-01-06

Solve the integral.
$\int_{0}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$

Lorraine Harvey 2022-01-05

In the given equation as follows , use a table of integrals with forms involving ln u to find the indefinite integral:-
$\int (\cos x) e^{\sin x} d x$

Annette Sabin 2022-01-05

Evaluate the following definite integrals.
$\int_{0}^{4} \frac{p}{\sqrt{9 + p^{2}}} d p$

Sam Longoria 2022-01-05

Evaluate the integral.
$\int \frac{d x}{\cos x - 1}$

lunnatican4 2022-01-05

Evaluate the following integral:
$\int \frac{1 - x}{\sqrt{1 - x^{2}}} d x$

hadejada7x 2022-01-04

Use the methods introduced evaluate the following integrals.
$\int_{- 2}^{1} \frac{3}{x^{2} + 4 x + 13} d x$

Monique Slaughter 2022-01-04

Find the integral, full solution
$\int {(2 x + 3)}^{2} d x$

burkinaval1b 2022-01-03

Use the Change of Variables Formula to evaluate the definite integral.
$\int_{0}^{4} x \sqrt{x^{2} + 9} d x$

Juan Hewlett 2022-01-03

Evaluate the indefinite integral.
$\int {(4 x + 5)}^{9} d x$

diferira7c 2022-01-03

Use symmetry to evaluate the following integrals.
$\int_{- 2}^{2} (x^{2} + x^{3}) d x$

rheisf 2022-01-03

Evaluate this integral:
$\int \frac{e^{x}}{1 + e^{x}} d x$

Kathy Williams 2022-01-03

Find the indefinite integral.
$\int \frac{{(\ln x)}^{2}}{x} d x$

Gregory Jones 2022-01-03

Evaluate the following integrals.
$\int \frac{81}{x^{3} - 9 x^{2}} d x$

Stacie Worsley 2022-01-03

Determine the following indefinite integral.
$\int \frac{x^{2}}{x^{4} + x^{2}} d x$

pogonofor9z 2022-01-03

Use substitution to find the indefinite integral.
$\int 4 x^{3} e^{2 x^{4}} d x$

William Burnett 2022-01-03

Evaluate the integral.
$\int \frac{\sin h x}{1 + \cos h x} d x$

jamessinatraaa 2022-01-02

Evaluate the following integral.
$\frac{e^{\tan x}}{\cos^{2} x} d x$

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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