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High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

aidmoong7 2021-12-05

Sketch the signed area represented by the integral. Indicate the regions of positive and negative area.
$\int_{π}^{2 π} \sin x d x$

Eichowa4 2021-12-04

Express each integral as a single integral.
$\int_{0}^{3} f (x) d x + \int_{3}^{7} f (x) d x$

villane0 2021-12-04

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.
$\int \frac{d x}{\sqrt{9 x^{2} - 100}}, x > \frac{10}{3}$

pro4ph5e4q2 2021-12-04

Use a table of integrals to find the indefinite integral $\int \frac{e^{3 x}}{{(1 + e^{x})}^{3}} d x$

Travis Fogle 2021-12-04

Evaluate the integral.
$\int (2 x^{3} - 3 x^{2}) d x$

korporasidn 2021-12-04

Find the integral of the given definite integral.
$\int_{- 2}^{2} \frac{d x}{x + 2}$

puntgewelb5 2021-12-03

Explain the differences between an indefinite integral and a definite integral.

Edmund Conti 2021-12-03

Use a table of integrals to evaluate the following integrals.
$\int_{0}^{\frac{π}{2}} \frac{d θ}{1 + \sin 2 θ}$

Paganellash 2021-12-03

Trigonometric integrals. Evaluate the following integrals.
$\int_{0}^{π} {(1 - \cos 2 x)}^{\frac{3}{2}} d x$

actever6a 2021-12-03

What is meant by a specified integral?

Lloyd Allen 2021-12-03

Evaluate iterated integral.
$\int_{0}^{3} \int_{1}^{2} (x y^{3} - x) d y d x$

sklicatias 2021-12-03

Evaluate the iterated integral.
$\int_{- 1}^{1} \int_{0}^{π} x^{2} \sin y d y d x$

embaseclielenzn 2021-12-03

Solve the definite/improper integral, tell if it converges or diverges.
$\int_{- 2}^{5} \frac{2 x + 4}{2 x^{2} + 21 x + 34} d x$

rescuedbyhimw0 2021-12-03

Evaluate the following integrals:
$\int x^{2} \tan^{- 1} x d x$

kolonelyf4 2021-12-03

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

Calicillian is Available as 125 mg tablet how many tablets are messed to give a dose of 375 mg

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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