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High School
Calculus and Analysis
Calculus 2
Applications of integrals

Recent questions in Applications of integrals

Shomalit4ob5 2022-06-01

How do you find the volume of the solid generated by revolving the region bounded by the graphs $y = \frac{3}{x + 1}$ , y=0, x=0, x=8, about the x axis?

Matteo Brady 2022-06-01

How do you find the volume of $y = 2 x^{2}; y = 0; x = 2$ revolved about the x axis?

eyizibulo2gn3c 2022-06-01

How do you find the differential dy of the function $y = x \sin x$ ?

Annika Miranda 2022-06-01

Indefinite Integration - with trignometric substitution
$\int \sqrt{\frac{\sqrt{x} - 1}{\sqrt{x} + 1}} d x$
The tip I got was to use $x = \sec^{2} (a)$ . I don't no how to continue

Kenley Wagner 2022-05-31

Let a<1 be a positive constant. How can I compute the following integral?
$\int_{0}^{2 π} \frac{1}{1 + a \cos (x)} d x$

Briana Petty 2022-05-30

How can I compute this integral
$\int \cos^{2} (t \sqrt{x^{2} - 1}) d x$

madridomot 2022-05-30

How do you find the arc length of the curve $y = \ln \cos x$ over the interval $[0, π / 3]$ ?

Briana Petty 2022-05-29

How do you find the surface area of the solid obtained by rotating about the x-axis the region bounded by $y = e^{x}$ on the interval $0 \leq x \leq 1$ ?

Timiavawsw9 2022-05-28

Trignometric integral : $\int \frac{d x}{\sin x + \sec x}$

il2k3s2u7 2022-05-27

How do you find the average value of $f (x) = x^{5} - 2 x^{3} + x$ as x varies between [-1, 0]?

Anthony Kramer 2022-05-27

How to you find the general solution of (2+x)y'=3y?

Thomas Hubbard 2022-05-24

How do you find the average value of $f (x) = - x^{5} + 4 x^{3} - 5 x - 3$ as x varies between [-2, 0]?

Ryker Stein 2022-05-24

How do you find the average value of $f (x) = \cos x$ as x varies between [1,5]?

ownerweneuf 2022-05-24

How do you find the average value of $f (x) = x - 2 \sqrt{x}$ as x varies between [0,2]?

Jerry Villegas 2022-05-24

What is the arclength of $f (x) = e^{x^{2} - x}$ in the interval [0, 15]?

patzeriap0 2022-05-23

Integrating trig function $\int \sqrt{(\sin^{2} x)^{2} + (2 \sin x \cos x)^{2}} d x = \int \sqrt{\sin^{2} x \sin^{2} x + 4 \sin^{2} x \cos^{2} x} d x$

agdv9m 2022-05-23

How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region $y = 16 - x^{2}$ and $0 \leq x \leq 4$ rotated about the x-axis?

Brice Colon 2022-05-23

What is the arclength of $f (x) = x^{2} e^{\frac{1}{x}}$ on $x \in [1, 2]$ ?

hoperetauyk 2022-05-23

Calculate:
$\int_{0}^{π} \cos (x) \log (\sin^{2} (x) + 1) d x$

Kiana Harper 2022-05-22

How to evaluate the integral $\int \sqrt{1 + \sin (x)} d x$

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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