Detailed Explanations for Calculus 2 Equations

What's the integral of $\frac{1}{x^{2}} \csc^{2} (\frac{1}{x})$ ?

Emmy Knox 2022-06-11

How to show that for $C, d > 0$ , the integral
$\int_{1}^{\infty} \exp (- \frac{x^{d}}{2 C}) d x < \infty$

Jamiya Weber 2022-06-11

What is the surface area produced by rotating $f (x) = e^{x^{2}}, x \in [- 1, 1]$ around the x-axis?

Jordan Victorio2022-06-11

Find a counterexample to the statement that every positive integer can be written as the sum of the squares of

Armeninilu 2022-06-10

How do you find the average value of $f (x) = - x^{4} 2 x^{2} + 4$ as x varies between [-2,1]?

juanberrio8a 2022-06-10

Can I get a hint on how to integrate $1 + \sin^{2} x$
I'm working on a line integral problem and have simplified to the integrand
$(1 + \sin^{2} θ) d θ$
What can I do from here?

Zion Wheeler 2022-06-10

What is the arclength of $f (x) = x^{5} - x^{4} + x$ in the interval [0,1]?

Yahir Crane 2022-06-10

What is the best description of exponential decay?

Lovellss 2022-06-09

Proof of a closed-form of $\prod_{n = 1}^{\infty} \frac{1}{e} {(1 + \frac{1}{3 n})}^{3 n + 1 / 2}$

Oakey1w 2022-06-09

I'm having some trouble figuring out the right substitutions to make to integrate
$\int \sin^{4} (θ) d θ$
and
$\int \cos^{4} (θ) d θ$
Any hints or suggestions are welcome.

flightwingsd2 2022-06-09

Proving that this integral is divergent
$\int_{0}^{\infty} \frac{| \sin x |}{x^{2}}$

Villaretq0 2022-06-09

Integrating $\frac{x^{3}}{(81 - x^{2})^{2}}$

Gybrisysmemiau7 2022-06-09

What is the arc length of $f (x) = x - x e^{x}$ on $x \in [2, 4]$ ?

boloman0z 2022-06-08

What is the volume of the solid produced by revolving $f (x) = x^{2}, x \in [0, 4]$ around the x-axis?

manierato5h 2022-06-08

Integral with simple fractions: $\int_{} \frac{\cos x}{\sin x \sqrt{1 + \cos^{2} x}} d x$

Fletcher Hays 2022-06-08

Indefinite integral $\int \frac{\cos 2 x}{\sin^{4} x + \cos^{4} x} d x$

Carolyn Beck 2022-06-08

Does $\sum_{n = 2}^{\infty} \frac{(- 1)^{n}}{\ln (n)}$ have a closed form?

Eden Solomon 2022-06-08

What is the average value of the function $u (x) = 10 x \sin (x^{2})$ on the interval $[0, \sqrt{π}]$ ?

polivijuye 2022-06-08

How do you find the volume of the solid bounded by $x = y^{2}$ and the line x=4 rotated about the x axis?

shmilybaby4i 2022-06-07

Finding the limit of ${\sum_{n = 1}^{k} \frac{1}{\sqrt{k^{2} + n}}}_{k = 1}^{\infty}$

When you are dealing with any Calculus 2 homework, it is vital to have a look at the various questions and answers that will help you see whether you are correct in your approach to finding solutions. Even if you are dealing with analytical aspects of Calculus 2, it will be helpful as you are looking at provided equations and learn how the answers relate to original questions and problems specified.

Do not be afraid to take a look at the basic integration and related application if Calculus 2 does not sound clear or start with the Calculus 1 first.

Calculus 2

Calculus 2 Equations: Expert Solutions and More