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Recent questions in Applications of integrals

Oberlaudacu 2021-12-28

Evaluate the following integrals.
$\int_{0}^{\frac{1}{2}} \frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}} d x$

lugreget9 2021-12-28

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

Terrie Lang 2021-12-28

Evaluate the definite integral.
$\int_{2}^{3} 2^{x} d x$

David Young 2021-12-27

Evaluate the definite integral.
$\int_{1}^{4} (8 x^{3} - x) d x$

Mary Hammonds 2021-12-27

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

aramutselv 2021-12-27

Evaluate the indefinite integral.
$\int \frac{2 x^{2} + x}{{(4 x^{3} + 3 x^{2})}^{2}} d x$

eiraszero11cu 2021-12-27

Evaluate the integral.
$\int \frac{x^{2} - 5 x + 16}{(2 x + 1) {(x - 2)}^{2}} d x$

Cynthia Bell 2021-12-27

Evaluate the indefinite integral.
$\int \frac{3}{x} + \frac{2}{5 x^{6}} d x$

jamessinatraaa 2021-12-27

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

Linda Seales 2021-12-27

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

eozoischgc 2021-12-27

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

Tiffany Russell 2021-12-26

Evaluate the integral.
$\int \frac{1}{x^{2} + 25} d x$

aramutselv 2021-12-26

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

Kathleen Rausch 2021-12-26

Evaluate the indefinite integral.
$\int \frac{x^{6}}{x^{7} + 2} d x$

hunterofdeath63 2021-12-26

Evaluate the integral.
$\int \frac{\sec 2 x}{\csc 2 x} d x$

eiraszero11cu 2021-12-26

Evaluate the indefinite integral.
$\int \frac{x + \ln x}{x} d x$

fanyattehedzg 2021-12-26

Evaluate the integrals.
$\int \frac{{(\tan^{- 1} x)}^{5}}{(1 + x^{2})} d x$

David Lewis 2021-12-21

Evaluate the following integrals. Include absolute values only when needed.
$\int_{0}^{5} 5^{5 x} d x$

Chris Cruz 2021-12-21

Find the indefinite integral.
$\int \csc 2 x d x$

Linda Seales 2021-12-20

Evaluate the integral.
$\int \cos^{- 6} x d x$

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.

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