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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.

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ID:(450, 0)


Changing Variables in an Integral
Equation

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

ID:(3586, 0)


Definite Integral of a Power
Equation

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

ID:(3582, 0)


Factor constante
Equation

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$\int a,dx=a,x$

ID:(4714, 0)


Factor constante
Equation

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

ID:(4715, 0)


Indefinite Integral of a Power
Equation

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

ID:(3581, 0)


Integral of a Sum of Functions
Equation

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

ID:(3587, 0)


Integral of the Exponential Function
Equation

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

ID:(3583, 0)


Integration by Parts
Equation

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

ID:(3588, 0)


Relation between Derivative and Integral
Equation

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

ID:(3580, 0)