Upgrade Your Applications of Integrals Knowledge

High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

aspifsGak5u 2021-12-20

Find the trigonometric integral.
$\int \frac{\tan^{2} x}{\sec^{3} x} d x$

Irvin Dukes 2021-12-20

Evaluate the following integrals.
$\int \frac{e^{x}}{e^{2 x} + 2 e^{x} + 1} d x$

eiraszero11cu 2021-12-20

Evaluate the following integrals. Include absolute values only when needed.
$\int \frac{\ln^{2} x + 2 \ln x - 1}{x} d x$

berljivx8 2021-12-20

Find indefinite integral.
$\int - 3 e^{2 x} d x$

Jean Blumer 2021-12-19

Evaluate the integral.
$\int_{0}^{1} \frac{2 \ln (x)}{\sqrt{x}} d x$

Bobbie Comstock 2021-12-19

Evaluating an Improper Integral :-, Determine whether the improper integral diverges or converges. Evaluate the integral if it converges :-
$\int_{- \infty}^{\infty} \frac{4}{16 + x^{2}} d x$

Cheexorgeny 2021-12-19

Use a table of integrals to find the indefinite integral.
$\int \frac{\cos x}{\sqrt{\sin^{2} x + 1}} d x$

socorraob 2021-12-19

Evaluate the integral.
$\int \sec^{2} x \tan x d x$

Juan Hewlett 2021-12-19

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

reproacht3 2021-12-19

Find indefinite integral.
$\int \frac{\sqrt{t}}{2} d t$

Stacie Worsley 2021-12-18

Can we analyze the integral.
$\int (\cot^{3} x) d x$

Charles Kingsley 2021-12-18

Evaluate the integral.
$\int t \sin^{2} t d t$

Marenonigt 2021-12-18

Evaluate this indefinite integral: $(\sqrt{x} - \frac{x}{2} + \frac{2}{\sqrt{x}}) d x$

hadejada7x 2021-12-17

Use properties of the indefinite integral to express the following integral in terms of the simplest integrals:
$\int (7 x^{2} - 6 x) d x$

Deragz 2021-12-17

Find the indefinite integral.
$\int \frac{- 1}{\sqrt{1 - {(4 t + 1)}^{2}}} d t$

David Troyer 2021-12-16

Use the form of the definition of the integral given in
Theorem 4 to evaluate the integral.
$\int_{0}^{2} (2 x - x^{3}) d x$

David Young 2021-12-16

Evaluate the following integrals or show that the integral diverges.
$\int_{- \infty}^{\infty} \frac{x^{3}}{1 + x^{8}} d x$

Lorraine Harvey 2021-12-16

Evaluate the following integrals.
$\int e^{x} \tan (e^{x}) d x$

PEEWSRIGWETRYqx 2021-12-16

Using the arc length formula below, set up a correct formula for the arc length of a semi circle with its radius = 5 and then find its arc length.
$\int_{a}^{b} \sqrt{1 + {(\frac{d y}{d x})}^{2} d x}$

Stefan Hendricks 2021-12-16

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

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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