Detailed Explanations for Calculus 2 Equations

Use partial fractions to find the indefinite integral.
$\int \frac{x^{2} + 12 x + 12}{x^{3} - 4 x} d x$

Talamancoeb 2022-01-07

I have to solve -
$\sum_{i = 1}^{\infty} {(\frac{5}{12})}^{i}$
- geometric series?

jubateee 2022-01-07

Test the convergence of the following series:
$\frac{\sqrt{n + 1} - 1}{{(n + 2)}^{3} - 1} + \dots + \infty$

Concepcion Hale 2022-01-07

Evaluate the integral.
$\tan x \sec^{3} x d x$

Charles Kingsley 2022-01-07

Evaluate the integral.
$\int \frac{1}{x (x - a)} d x$

Judith McQueen 2022-01-07

Evaluate the following indefinite integral.
$\int \cos^{4} (x) \sin (x) d x$

Concepcion Hale 2022-01-07

Given $\int (x^{5} - 3 x^{4} + 6 x^{3} + 3) d x$ , evaluate the indefinite integral.

pierdoodsu 2022-01-06

Solve the integral.
$\int_{0}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$

eliaskidszs 2022-01-06

Using power series representation, calculate
$\sum_{n = 1}^{\infty} \frac{n 2^{n}}{3^{n}}$

William Cleghorn 2022-01-06

What is the appropriate way to simplify such an expression. i am unsure of how to use the series i know to apply to this situation
$\sum_{L = 0}^{M} s^{L} L^{2}$

lunnatican4 2022-01-05

Evaluate the following integral:
$\int \frac{1 - x}{\sqrt{1 - x^{2}}} d x$

Lorraine Harvey 2022-01-05

In the given equation as follows , use a table of integrals with forms involving ln u to find the indefinite integral:-
$\int (\cos x) e^{\sin x} d x$

Sam Longoria 2022-01-05

Evaluate the integral.
$\int \frac{d x}{\cos x - 1}$

Annette Sabin 2022-01-05

Evaluate the following definite integrals.
$\int_{0}^{4} \frac{p}{\sqrt{9 + p^{2}}} d p$

Talamancoeb 2022-01-05

I really can't remember (if I have ever known this): which series is this and how to demonstrate its solution?
$\sum_{i = 1}^{n} i = \frac{n (n + 1)}{2}$

Monique Slaughter 2022-01-04

Find the integral, full solution
$\int {(2 x + 3)}^{2} d x$

hadejada7x 2022-01-04

Use the methods introduced evaluate the following integrals.
$\int_{- 2}^{1} \frac{3}{x^{2} + 4 x + 13} d x$

burkinaval1b 2022-01-04

Having trouble with this infinite series and deciding whether it converges or diverges.
The series:
$\sum_{n = 1}^{\infty} n {(\frac{1}{2 i})}^{n}$

Joan Thompson 2022-01-04

Consider the following infinite series:
$\sum_{k = 0}^{\infty} \frac{2^{k}}{1 + \frac{1}{x^{2 k}}}$

William Burnett 2022-01-03

Evaluate the integral.
$\int \frac{\sin h x}{1 + \cos h x} d x$

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