Detailed Explanations for Calculus 2 Equations

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

Bobbie Comstock 2021-12-19

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

rheisf 2021-12-18

Select the FIRST correct reason why the given deries converges.
A. Convergent geometric series
B. Convergent p series
C. Comparison (of Limit Comparison) with a geometric or p series
D. Converges by alternating series test
1. $\sum_{n = 1}^{\infty} \frac{\sin^{2} (3 n)}{n^{2}}$
2. $\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n} \ln (e^{n})}{n^{4} \cos (n π)}$
3. $\sum_{n = 1}^{\infty} \frac{\cos (n π)}{\ln (4 n)}$
4. $\sum_{n = 1}^{\infty} \frac{2 {(4)}^{n}}{6^{2 n}}$
5. $\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n}}{2 n + 6}$
6. $\sum_{n = 1}^{\infty} {(- 1)}^{n} \frac{\sqrt{n}}{n + 4}$

Marenonigt 2021-12-18

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

namenerk 2021-12-18

What is the difference between f(-x) and -f(x)?
What is the difference between $f (- x) and - f (x)$ in terms of their graphs?

Charles Kingsley 2021-12-18

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

Stacie Worsley 2021-12-18

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

Deragz 2021-12-17

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

hadejada7x 2021-12-17

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

David Troyer 2021-12-16

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

Adela Brown 2021-12-16

Which statement is true for the following series?
$\sum_{k = 1}^{\infty} \frac{{(- 1)}^{k}}{5 k + 6}$
1. Cannot be determined
2. Divergent
3. Conditionally convergent
4. Absolutely convergent

Quentin Johnson 2021-12-16

Find integral.
$\int e^{x} {\csc e}^{x} {\cot e}^{x} d x$

osnomu3 2021-12-16

Use the basic integration rules to find or evaluate the integral.
$\int x e^{5 - x^{2}} d x$

Stefan Hendricks 2021-12-16

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

David Young 2021-12-16

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

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.
$\int_{a}^{b} \sqrt{1 + {(\frac{d y}{d x})}^{2} d x}$

Lorraine Harvey 2021-12-16

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

Sandra Allison 2021-12-16

How do you find parametric equations for the tangent line to the curve with the given parametric equations $x = 7 t^{2} - 4$ and $y = 7 t^{2} + 4$ and $z = 6 t + 5$ and $(3, 11, 11)$ ?

Charles Kingsley 2021-12-15

The three masses shown in the figure are connected by massless, rigid rods.
Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. Express your answer to two significant figures and include the appropriate units.
Find the moment of inertia about an axis that passes through masses B and C.

Donald Johnson 2021-12-15

How do you find $\frac{d^{2} y}{{d x}^{2}}$ by implicit differentiation where $x^{2} y + x y^{2} = 3 x$

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