Detailed Explanations for Calculus 2 Equations

In the following exercises, find each indefinite integral, using appropriate substitutions.
$\int \frac{d x}{\sqrt{1 - 16 x^{2}}}$

Priscilla Johnston 2021-12-13

How do you find a formula for the sum n terms $\sum_{i = 1}^{n} (1 + \frac{i}{n}) (\frac{2}{n})$ and then find the limit as $n \to \infty$

Osvaldo Apodaca 2021-12-13

Solve the problem.
a) Suppose that $\int_{- 9}^{- 6} g (t) d t = 6$ . Find $\int_{- 9}^{- 6} \frac{g (x)}{6} d x$ and $\int_{- 6}^{- 9} - g (t) d t$
b) Suppose that h is continuous and that $\int_{- 3}^{3} h (x) d x = 4$ and $\int_{3}^{6} h (x) d x = - 12$ . Find $\int_{- 3}^{6} h (t) d t$ and $\int_{6}^{- 3} h (t) d t$

fertilizeki 2021-12-13

Find the differential.
a) $z = \frac{1}{2} (e^{x^{2} + y^{2}} - e^{- x^{2} - y^{2}})$
b) $w = 2 z^{3} y \sin x$

sputneyoh 2021-12-13

Find the maximum rate of change of f at the given point and the direction in which it occurs.
$f (x, y) = 4 y \sqrt{x}, (4, 9)$
maximum rate of change =
direction vector =

Oberlaudacu 2021-12-12

Find the indefinite integral. $\int \frac{x^{2} + 2 x - 6}{x^{4}} d x$

Mary Reyes 2021-12-12

Find the general solution of the given higher-order differential equation.
$y^{(4)} + y^{‴} + y^{″} = 0$
$y (x) =$

Patricia Crane 2021-12-12

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

sunshine022uv 2021-12-12

Evaluate the following integrals.
$\int_{0}^{1} x 3^{x^{2} + 1} d x$

Priscilla Johnston 2021-12-12

Evaluate the indefinite integrals.
$\int 3 x^{2} e^{x^{3}} d x$

Judith McQueen 2021-12-12

How to find the Maclaurin series for $e^{x}$ ?

William Boggs 2021-12-12

Evaluate the integral, if it exists.
$\int_{0}^{3} | x^{2} - 4 | d x$

percibaa8 2021-12-12

Use the methods introduced evaluate the following integrals.
$\int \cos (\frac{x}{2} + \frac{π}{3}) d x$

Oberlaudacu 2021-12-12

Evaluate the definite integral.
$\int_{1}^{7} \frac{1}{9 + {(x + 2)}^{2}} d x$

jubateee 2021-12-12

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

tripiverded9 2021-12-12

Evaluate the integral.
$\int \frac{(x^{2} + 4)}{x {(x^{2} + 1)}^{2}}$

Gregory Jones 2021-12-12

Trigonometric integrals. Evaluate the following integrals.
$\int \sin^{2} x \cos^{2} x d x$

interdicoxd 2021-12-12

Use a table of integrals to evaluate the following indefinite integrals. Some of the integrals require preliminary work, such as completing the square or changing variables, before they can be found in a table.
$\int \frac{3 u}{2 u + 7} d u$

quiquenobi2v6 2021-12-12

Use a table of integrals to evaluate the following integrals.
$\int x {(2 x + 3)}^{5} d x$

David Lewis 2021-12-11

Find the equation of the tan line to the curve at $(81; 9)$ of $y = \sqrt{x}$

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