la integral de t cosh(2t)
Hola
I = ʃ t cosh(2 t) dt
I = (1/4) ʃ (2 t) cosh(2 t) d(2 t)
I = (1/4) ʃ (2 t) d(senh(2 t))
Integral por partes
I = (1/4) ( (2 t) (senh(2 t)) - ʃ (senh(2 t)) d(2 t) )
I = (1/4) ( (2 t) (senh(2 t)) - cosh(2 t) ) + C
I = (1/2) t senh(2 t) - (1/4) cosh(2 t) + C
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Verified answer
Hola
I = ʃ t cosh(2 t) dt
I = (1/4) ʃ (2 t) cosh(2 t) d(2 t)
I = (1/4) ʃ (2 t) d(senh(2 t))
Integral por partes
I = (1/4) ( (2 t) (senh(2 t)) - ʃ (senh(2 t)) d(2 t) )
I = (1/4) ( (2 t) (senh(2 t)) - cosh(2 t) ) + C
I = (1/2) t senh(2 t) - (1/4) cosh(2 t) + C
*****************