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High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

Quentin Johnson 2021-12-16

Find integral.
$\int e^{x} {\csc e}^{x} {\cot e}^{x} d x$

osnomu3 2021-12-16

Use the basic integration rules to find or evaluate the integral.
$\int x e^{5 - x^{2}} d x$

namenerk 2021-12-14

Determine the following indefinite integral.
$\int \frac{x^{2} - 36}{x - 6} d x$

Irrerbthist6n 2021-12-14

Find formulas for the functions represented by the integrals.
$\int_{1}^{x^{2}} t d t$

fertilizeki 2021-12-14

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

Betsy Rhone 2021-12-14

Find the indefinite integral.
$\int \frac{x^{2}}{x - 4} d x$

Shirley Thompson 2021-12-14

Evaluate the following integrals.
$\int \cos^{2} 10 x d x$

PEEWSRIGWETRYqx 2021-12-14

Evaluate the given integral.
$\int \frac{x - 1}{x + 2} d x$

dedica66em 2021-12-13

Determine the following integrals.
$\frac{y}{{(y^{2} + 1)}^{\frac{5}{4}}} d y$

sunshine022uv 2021-12-13

Use partial fractions to evaluate the definite integral.
$\int_{0}^{1} \frac{x^{2} - x}{x^{2} + x + 1} d x$

rheisf 2021-12-13

Find the indefinite integral.
$\int \frac{e^{2 x}}{1 + e^{2 x}} d x$

Kathy Williams 2021-12-13

Evaluate the integrals $\int \frac{d x}{x} (9 - x^{2})$

elvishwitchxyp 2021-12-13

Evaluate the integral.
$\int \csc^{4} 4 x d x$

osnomu3 2021-12-13

Evaluate the following integrals.
$\int \frac{\sin x}{\cos^{2} x + \cos x} d x$

Osvaldo Apodaca 2021-12-13

Solve the problem.
a) Suppose that $\int_{- 9}^{- 6} g (t) d t = 6$ . Find $\int_{- 9}^{- 6} \frac{g (x)}{6} d x$ and $\int_{- 6}^{- 9} - g (t) d t$
b) Suppose that h is continuous and that $\int_{- 3}^{3} h (x) d x = 4$ and $\int_{3}^{6} h (x) d x = - 12$ . Find $\int_{- 3}^{6} h (t) d t$ and $\int_{6}^{- 3} h (t) d t$

hadejada7x 2021-12-13

In the following exercises, find each indefinite integral, using appropriate substitutions.
$\int \frac{d x}{\sqrt{1 - 16 x^{2}}}$

Daniell Phillips 2021-12-13

Use properties of the indefinite integral to express the following integral in terms of the simplest integrals:
$\int (5 x^{2} - 5 x) d x$

quiquenobi2v6 2021-12-12

Use a table of integrals to evaluate the following integrals.
$\int x {(2 x + 3)}^{5} d x$

Gregory Jones 2021-12-12

Trigonometric integrals. Evaluate the following integrals.
$\int \sin^{2} x \cos^{2} x d x$

interdicoxd 2021-12-12

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 can be found in a table.
$\int \frac{3 u}{2 u + 7} d u$

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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