Solve Integral Calculus Problems with Ease

College
Calculus and Analysis
Integral Calculus

I don't quite understand the discretisation error of Euler's method
$L (t, h) = \frac{x (t + h) - x (t)}{h} - f (t, x (t))$
What I don't understand is: $\frac{x (t + h) - x (t)}{h}$ is the "gradient" and $f (t, x (t)$ is the value of the function. How can we get the error by subtracting the former by the latter?

Montenovofe 2022-07-07

Find a recursive formula for $I_{n} = \int_{0}^{2} x^{n} (4 - x^{2})^{1 / 2} d x$

orlovskihmw 2022-07-07

What is the polar form of $(- 3, 4)$ ?

Willow Pratt 2022-07-06

I have to evaluate this integral:
$\int \frac{1 - x + x^{2}}{x \sqrt{1 + x - x^{2}}} d x$

rzfansubs87 2022-07-06

How do you find parametric equations for the tangent line to the curve with the given parametric equations at the point $(1, 4, 4)$ .
$x = \cos (t), y = 4 e^{8} t, z = 4 e^{- 8} t$

hornejada1c 2022-07-06

How do you find the parametric equation through the point (6, 0, 10) and parallel to the plane $- 3 x + 2 y - 4 z = 0$ ?

Sam Hardin 2022-07-05

Given a continuous function $f : [0, 1] \to R$ , prove that
$\forall t > 0, \frac{1}{t} \cdot \ln (\int_{0}^{1} e^{- t f (x)} d x) \leq - min f (x) .$

Wisniewool 2022-07-05

Use both trapezoid and Simpson's rule to find $\int_{0}^{\infty} e^{- x} d x$ starting with $h = 2$ where $h$ is the length of subintervals $[x_{i}, x_{i + 1}]$ .

rjawbreakerca 2022-07-05

How do you write a vector equation and a parametric equation for each line: the line through $A (- 1, 2, 1)$ and $B (1, 2, 1)$ ?

Rapsinincke 2022-07-04

What is the distance between the following polar coordinates?: $(3, \frac{π}{4}), (9, \frac{3 π}{8})$

desertiev5 2022-07-04

What is the polar form of $(- 1, 18)$ ?

Janessa Olson 2022-07-04

How do you find the parametric and symmetric equation of the line passing through the point $(2, 3, 4)$ and perpendicular to the plane $5 x + 6 y - 7 z = 20$ ?

Janessa Olson 2022-07-04

Let
$I_{1} = \int_{0}^{\frac{π}{4}} (1 + \tan x)^{2} d x, I_{2} = \int_{0}^{1} \frac{1}{(1 + x)^{2} (1 + x^{2})} d x$
then find $\frac{I_{1}}{I_{2}}$

Audrina Jackson 2022-07-04

What is the distance between the following polar coordinates?:
$(5, \frac{5 π}{4}), (2, \frac{11 π}{8})$

skynugurq7 2022-07-03

For $f (t) = (\frac{e^{t}}{t}, 4 t + \frac{1}{t})$ what is the distance between f(2) and f(5)?

Holetaug 2022-07-03

How do you convert $(y = 2 + x)$ to parametric equation?

Salvador Bush 2022-07-03

integral substitution not by u-sub
$\int \frac{1}{(x^{2} + 4 x + 9)} d x$

Sovardipk 2022-07-03

Difficulty solving $\iint \ln (x + y^{2}) \cdot y^{2} d x d y$ with change of variables

Waldronjw 2022-07-03

Problem applying Simpson's rule
$I = \int_{0}^{2} \frac{1}{x + 4} d x$
with $n = 4$ .

Augustus Acevedo 2022-07-03

I have to integrate this : $\int \frac{\cos^{2} (x)}{1 + \tan (x)} d x$

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Integral Calculus

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