miércoles, 14 de octubre de 2020

calculo integral

int[ ( g(f(x)) )^{n} ] d[x] = ...

... (1/(n+1))·( g(f(x)) )^{n+1} [o(x)o] ( g(f(x)) )^{[o(x)o](-1)}


int[ ( f(x) )^{n} ] d[x] = ...

... (1/(n+1))·( f(x) )^{n+1} [o(x)o] ( f(x) )^{[o(x)o](-1)}


int[ ( ax+b )^{n} ] d[x] = ...

... (1/(n+1))·( ax+b )^{n+1} [o(x)o] (1/a)


int[ ( e^{ax+b} )^{n} ] d[x] = ...

... (1/(n+1))·( e^{ax+b} )^{n+1} [o(x)o] (-1)·e^{(-1)·(ax+b)} [o(x)o] (-1)·(1/a^{2})


int[ ( ln( ax+b ) )^{n} ] d[x] = ...

... (1/(n+1))·( ln( ax+b ) )^{n+1} [o(x)o] ln( ln( ax+b ) ) [o(x)o] (1/3)·( ax+b )^{3} [o(x)o] (1/a^{3})


int[ ( sin(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( sin(ax+b) )^{n+1} [o(x)o] sin(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( sin(ax+b) )^{n+1} [o(x)o] tan[o(x)o](ax+b) [o(x)o] (-1)·cos(ax+b) [o(x)o] (1/a^{3})


int[ ( cos(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( cos(ax+b) )^{n+1} [o(x)o] cos(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( cos(ax+b) )^{n+1} [o(x)o] cot[o(x)o](ax+b) [o(x)o] (-1)·sin(ax+b) [o(x)o] (1/a^{3})


int[ (-1)·( sin(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( sin(ax+b) )^{n+1} [o(x)o] (-1)·sin(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( sin(ax+b) )^{n+1} [o(x)o] tan[o(x)o](ax+b) [o(x)o] cos(ax+b) [o(x)o] (1/a^{3})


int[ (-1)·( cos(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( cos(ax+b) )^{n+1} [o(x)o] (-1)·cos(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( cos(ax+b) )^{n+1} [o(x)o] cot[o(x)o](ax+b) [o(x)o] sin(ax+b) [o(x)o] (1/a^{3})


int[ ( sinh(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( sinh(ax+b) )^{n+1} [o(x)o] sinh(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( sinh(ax+b) )^{n+1} [o(x)o] tanh[o(x)o](ax+b) [o(x)o] (-1)·cosh(ax+b) [o(x)o] (1/a^{3})


int[ (-1)·( cosh(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( cosh(ax+b) )^{n+1} [o(x)o] cosh(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( cosh(ax+b) )^{n+1} [o(x)o] coth[o(x)o](ax+b) [o(x)o] (-1)·sinh(ax+b) [o(x)o] (1/a^{3})


int[ (-1)·( sinh(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( sinh(ax+b) )^{n+1} [o(x)o] (-1)·sinh(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( sinh(ax+b) )^{n+1} [o(x)o] tanh[o(x)o](ax+b) [o(x)o] cosh(ax+b) [o(x)o] (1/a^{3})


int[ ( cosh(ax+b) )^{n} ] d[x] = ...

... (1/(n+1))·( cosh(ax+b) )^{n+1} [o(x)o] (-1)·cosh(ax+b) [o(x)o] (1/a^{2})+...

... (1/(n+1))·( cosh(ax+b) )^{n+1} [o(x)o] coth[o(x)o](ax+b) [o(x)o] sinh(ax+b) [o(x)o] (1/a^{3})


int[ ( 1/sin(x) ) ] d[x] = (-1)·cos(x)+cot[o(x)o](x) [o(x)o] sin(x)

int[ (-1)·( 1/cos(x) ) ] d[x] = (-1)·sin(x)+tan[o(x)o](x) [o(x)o] cos(x)

int[ ( 1/cos(x) ) ] d[x] = sin(x)+tan[o(x)o](x) [o(x)o] (-1)·cos(x)

int[ (-1)·( 1/sin(x) ) ] d[x] = cos(x)+cot[o(x)o](x) [o(x)o] (-1)·sin(x)

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