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Relaciones
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Bases para comprender como se deriva e integra para comprender como en física se resuelven ecuaciones que se formulan con derivadas.

>Model

ID:(450, 0)


Relaciones
Description

Bases para comprender como se deriva e integra para comprender como en física se resuelven ecuaciones que se formulan con derivadas.

Variables
Symbol
Text
Variable
Value
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Calculate
MKS Value
MKS Units

Calculations

First, select the equation:   to ,  then, select the variable:   to 
\displaystyle\displaystyle\frac{d}{dx}\displaystyle\int f(x)dx = f(x)\displaystyle\int dx\,x^n=\displaystyle\displaystyle\frac{x^{n+1}}{n+1}\displaystyle\int_a^b dx\,x^n=\displaystyle\displaystyle\frac{1}{n+1}(b^{n+1}-a^{n+1})\displaystyle\int dx\,e^x=e^x\displaystyle\int_a^b f(x)dx=\displaystyle\int_{u(a)}^{u(b)}f(u)\displaystyle\frac{dx}{du}du\displaystyle\int (f(x)+g(x))dx=\displaystyle\int f(x)dx+\displaystyle\int g(x)dx\displaystyle\int dx\displaystyle\displaystyle\frac{df}{dx}g(x)=f(x)g(x)-\int dx f(x)\displaystyle\displaystyle\frac{dg}{dx}\displaystyle\int a\,dx=a\,x\displaystyle\int a\,f(x)dx=a\displaystyle\int f(x)dx
Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used
\displaystyle\displaystyle\frac{d}{dx}\displaystyle\int f(x)dx = f(x)\displaystyle\int dx\,x^n=\displaystyle\displaystyle\frac{x^{n+1}}{n+1}\displaystyle\int_a^b dx\,x^n=\displaystyle\displaystyle\frac{1}{n+1}(b^{n+1}-a^{n+1})\displaystyle\int dx\,e^x=e^x\displaystyle\int_a^b f(x)dx=\displaystyle\int_{u(a)}^{u(b)}f(u)\displaystyle\frac{dx}{du}du\displaystyle\int (f(x)+g(x))dx=\displaystyle\int f(x)dx+\displaystyle\int g(x)dx\displaystyle\int dx\displaystyle\displaystyle\frac{df}{dx}g(x)=f(x)g(x)-\int dx f(x)\displaystyle\displaystyle\frac{dg}{dx}\displaystyle\int a\,dx=a\,x\displaystyle\int a\,f(x)dx=a\displaystyle\int f(x)dx


Equations

Examples

$\int_a^b f(x)dx=\int_{u(a)}^{u(b)}f(u)\displaystyle\frac{dx}{du}du$

(ID 3586)

$\int_a^b dx,x^n=\displaystyle\displaystyle\frac{1}{n+1}(b^{n+1}-a^{n+1})$

(ID 3582)

$\int a,dx=a,x$

(ID 4714)

$\int a,f(x)dx=a\int f(x)dx$

(ID 4715)

$\int dx,x^n=\displaystyle\displaystyle\frac{x^{n+1}}{n+1}$

(ID 3581)

$\int (f(x)+g(x))dx=\int f(x)dx+\int g(x)dx$

(ID 3587)

$\int dx,e^x=e^x$

(ID 3583)

$\int dx\displaystyle\displaystyle\frac{df}{dx}g(x)=f(x)g(x)-\int dx f(x)\displaystyle\displaystyle\frac{dg}{dx}$

(ID 3588)

$\displaystyle\displaystyle\frac{d}{dx}\int f(x)dx = f(x)$

(ID 3580)

ID:(450, 0)